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High School Math Geometry Geometry, Student Edition

Two-column proof to prove that the sum of given angles is 540.

Two-column proof to prove that the sum of given angles is 540.

Geometry, Student Edition

Geometry, Student Edition

1st Edition

ISBN: 9780078884849

Author: McGraw-Hill, McGraw Hill

Publisher: Glencoe/McGraw-Hill School Pub Co

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Question

Chapter 4.2, Problem 43PPS

To determine

Two-column proof to prove that the sum of given angles is 540.

Expert Solution & Answer

Explanation of Solution

Given:

RSTUV is a pentagon.

Geometry, Student Edition, Chapter 4.2, Problem 43PPS , additional homework tip 1

m∠S+m∠STU+m∠TUV+m∠V+m∠VRS=540

Calculation:

The two-column proof is:

Geometry, Student Edition, Chapter 4.2, Problem 43PPS , additional homework tip 2

Chapter 4.2, Problem 42PPS

Chapter 4.2, Problem 44PPS

Chapter 4 Solutions

Geometry, Student Edition

Ch. 4.1 - Prob. 1ACYP Ch. 4.1 - Prob. 1BCYP Ch. 4.1 - Prob. 2CYP Ch. 4.1 - Prob. 3CYP Ch. 4.1 - Prob. 4CYP Ch. 4.1 - Prob. 5CYP Ch. 4.1 - Prob. 1CYU Ch. 4.1 - Prob. 2CYU Ch. 4.1 - Prob. 3CYU Ch. 4.1 - Prob. 4CYU

Ch. 4.1 - Prob. 5CYU Ch. 4.1 - Prob. 6CYU Ch. 4.1 - Prob. 7CYU Ch. 4.1 - Prob. 8CYU Ch. 4.1 - Prob. 9CYU Ch. 4.1 - Prob. 10CYU Ch. 4.1 - Prob. 11CYU Ch. 4.1 - Prob. 12CYU Ch. 4.1 - Prob. 13CYU Ch. 4.1 - Prob. 14CYU Ch. 4.1 - Prob. 15PPS Ch. 4.1 - Prob. 16PPS Ch. 4.1 - Prob. 17PPS Ch. 4.1 - Prob. 18PPS Ch. 4.1 - Prob. 19PPS Ch. 4.1 - Prob. 20PPS Ch. 4.1 - Prob. 21PPS Ch. 4.1 - Prob. 22PPS Ch. 4.1 - Prob. 23PPS Ch. 4.1 - Prob. 24PPS Ch. 4.1 - Prob. 25PPS Ch. 4.1 - Prob. 26PPS Ch. 4.1 - Prob. 27PPS Ch. 4.1 - Prob. 28PPS Ch. 4.1 - Prob. 29PPS Ch. 4.1 - Prob. 30PPS Ch. 4.1 - Prob. 31PPS Ch. 4.1 - Prob. 32PPS Ch. 4.1 - Prob. 33PPS Ch. 4.1 - Prob. 34PPS Ch. 4.1 - Prob. 35PPS Ch. 4.1 - Prob. 36PPS Ch. 4.1 - Prob. 37PPS Ch. 4.1 - Prob. 38PPS Ch. 4.1 - Prob. 39PPS Ch. 4.1 - Prob. 40PPS Ch. 4.1 - Prob. 41PPS Ch. 4.1 - Prob. 42PPS Ch. 4.1 - Prob. 43PPS Ch. 4.1 - Prob. 44PPS Ch. 4.1 - Prob. 45PPS Ch. 4.1 - Prob. 46PPS Ch. 4.1 - Prob. 47PPS Ch. 4.1 - Prob. 48PPS Ch. 4.1 - Prob. 49PPS Ch. 4.1 - Prob. 50PPS Ch. 4.1 - Prob. 51PPS Ch. 4.1 - Prob. 52PPS Ch. 4.1 - Prob. 53PPS Ch. 4.1 - Prob. 54PPS Ch. 4.1 - Prob. 55PPS Ch. 4.1 - Prob. 56HP Ch. 4.1 - Prob. 57HP Ch. 4.1 - Prob. 58HP Ch. 4.1 - Prob. 59HP Ch. 4.1 - Prob. 60HP Ch. 4.1 - Prob. 61HP Ch. 4.1 - Prob. 62HP Ch. 4.1 - Prob. 63HP Ch. 4.1 - Prob. 64HP Ch. 4.1 - Prob. 65STP Ch. 4.1 - Prob. 66STP Ch. 4.1 - Prob. 67STP Ch. 4.1 - Prob. 68STP Ch. 4.1 - Prob. 69SPR Ch. 4.1 - Prob. 70SPR Ch. 4.1 - Prob. 71SPR Ch. 4.1 - Prob. 72SPR Ch. 4.1 - Prob. 73SPR Ch. 4.1 - Prob. 74SPR Ch. 4.1 - Prob. 75SPR Ch. 4.1 - Prob. 76SPR Ch. 4.1 - Prob. 77SPR Ch. 4.1 - Prob. 78SPR Ch. 4.1 - Prob. 79SPR Ch. 4.1 - Prob. 80SPR Ch. 4.1 - Prob. 81SPR Ch. 4.1 - Prob. 82SR Ch. 4.1 - Prob. 83SR Ch. 4.1 - Prob. 84SR Ch. 4.1 - Prob. 85SR Ch. 4.2 - Prob. 1ACYP Ch. 4.2 - Prob. 1BCYP Ch. 4.2 - Prob. 2CYP Ch. 4.2 - Prob. 3ACYP Ch. 4.2 - Prob. 3BCYP Ch. 4.2 - Prob. 3CCYP Ch. 4.2 - Prob. 1CYU Ch. 4.2 - Prob. 2CYU Ch. 4.2 - Prob. 3CYU Ch. 4.2 - Prob. 4CYU Ch. 4.2 - Prob. 5CYU Ch. 4.2 - Prob. 6CYU Ch. 4.2 - Prob. 7CYU Ch. 4.2 - Prob. 8CYU Ch. 4.2 - Prob. 9CYU Ch. 4.2 - Prob. 10CYU Ch. 4.2 - Prob. 11CYU Ch. 4.2 - Prob. 12PPS Ch. 4.2 - Prob. 13PPS Ch. 4.2 - Prob. 14PPS Ch. 4.2 - Prob. 15PPS Ch. 4.2 - Prob. 16PPS Ch. 4.2 - Prob. 17PPS Ch. 4.2 - Prob. 18PPS Ch. 4.2 - Prob. 19PPS Ch. 4.2 - Prob. 20PPS Ch. 4.2 - Prob. 21PPS Ch. 4.2 - Prob. 22PPS Ch. 4.2 - Prob. 23PPS Ch. 4.2 - Prob. 24PPS Ch. 4.2 - Prob. 25PPS Ch. 4.2 - Prob. 26PPS Ch. 4.2 - Prob. 27PPS Ch. 4.2 - Prob. 28PPS Ch. 4.2 - Prob. 29PPS Ch. 4.2 - Prob. 30PPS Ch. 4.2 - Prob. 31PPS Ch. 4.2 - Prob. 32PPS Ch. 4.2 - Prob. 33PPS Ch. 4.2 - Prob. 34PPS Ch. 4.2 - Prob. 35PPS Ch. 4.2 - Prob. 36PPS Ch. 4.2 - Prob. 37PPS Ch. 4.2 - Prob. 38PPS Ch. 4.2 - Prob. 39PPS Ch. 4.2 - Prob. 40PPS Ch. 4.2 - Prob. 41PPS Ch. 4.2 - Prob. 42PPS Ch. 4.2 - Prob. 43PPS Ch. 4.2 - Prob. 44PPS Ch. 4.2 - Prob. 45PPS Ch. 4.2 - Prob. 46HP Ch. 4.2 - Prob. 47HP Ch. 4.2 - Prob. 48HP Ch. 4.2 - Prob. 49HP Ch. 4.2 - Prob. 50HP Ch. 4.2 - Prob. 51HP Ch. 4.2 - Prob. 52STP Ch. 4.2 - Prob. 53STP Ch. 4.2 - Prob. 54STP Ch. 4.2 - Prob. 55STP Ch. 4.2 - Prob. 56SPR Ch. 4.2 - Prob. 57SPR Ch. 4.2 - Prob. 58SPR Ch. 4.2 - Prob. 59SPR Ch. 4.2 - Prob. 60SPR Ch. 4.2 - Prob. 61SPR Ch. 4.2 - Prob. 62SPR Ch. 4.2 - Prob. 63SR Ch. 4.2 - Prob. 64SR Ch. 4.2 - Prob. 65SR Ch. 4.2 - Prob. 66SR Ch. 4.2 - Prob. 67SR Ch. 4.3 - Prob. 1ACYP Ch. 4.3 - Prob. 1BCYP Ch. 4.3 - Prob. 2CYP Ch. 4.3 - Prob. 3CYP Ch. 4.3 - Prob. 4CYP Ch. 4.3 - Prob. 1CYU Ch. 4.3 - Prob. 2CYU Ch. 4.3 - Prob. 3CYU Ch. 4.3 - Prob. 4CYU Ch. 4.3 - Prob. 5CYU Ch. 4.3 - Prob. 6CYU Ch. 4.3 - Prob. 7CYU Ch. 4.3 - Prob. 8CYU Ch. 4.3 - Prob. 9CYU Ch. 4.3 - Prob. 10PPS Ch. 4.3 - Prob. 11PPS Ch. 4.3 - Prob. 12PPS Ch. 4.3 - Prob. 13PPS Ch. 4.3 - Prob. 14PPS Ch. 4.3 - Prob. 15PPS Ch. 4.3 - Prob. 16PPS Ch. 4.3 - Prob. 17PPS Ch. 4.3 - Prob. 18PPS Ch. 4.3 - Prob. 19PPS Ch. 4.3 - Prob. 20PPS Ch. 4.3 - Prob. 21PPS Ch. 4.3 - Prob. 22PPS Ch. 4.3 - Prob. 23PPS Ch. 4.3 - Prob. 24PPS Ch. 4.3 - Prob. 25PPS Ch. 4.3 - Prob. 26PPS Ch. 4.3 - Prob. 27PPS Ch. 4.3 - Prob. 28PPS Ch. 4.3 - Prob. 29PPS Ch. 4.3 - Prob. 30PPS Ch. 4.3 - Prob. 31PPS Ch. 4.3 - Prob. 32PPS Ch. 4.3 - Prob. 33PPS Ch. 4.3 - Prob. 34PPS Ch. 4.3 - Prob. 35PPS Ch. 4.3 - Prob. 36HP Ch. 4.3 - Prob. 37HP Ch. 4.3 - Prob. 38HP Ch. 4.3 - Prob. 39HP Ch. 4.3 - Prob. 40HP Ch. 4.3 - Prob. 41HP Ch. 4.3 - Prob. 42HP Ch. 4.3 - Prob. 43HP Ch. 4.3 - Prob. 44STP Ch. 4.3 - Prob. 45STP Ch. 4.3 - Prob. 46STP Ch. 4.3 - Prob. 47STP Ch. 4.3 - Prob. 48SPR Ch. 4.3 - Prob. 49SPR Ch. 4.3 - Prob. 50SPR Ch. 4.3 - Prob. 51SPR Ch. 4.3 - Prob. 52SPR Ch. 4.3 - Prob. 53SPR Ch. 4.3 - Prob. 54SPR Ch. 4.3 - Prob. 55SPR Ch. 4.3 - Prob. 56SPR Ch. 4.3 - Prob. 57SPR Ch. 4.3 - Prob. 58SR Ch. 4.4 - Prob. 1CYP Ch. 4.4 - Prob. 2CYP Ch. 4.4 - Prob. 3CYP Ch. 4.4 - Prob. 4CYP Ch. 4.4 - Prob. 1CYU Ch. 4.4 - Prob. 2CYU Ch. 4.4 - Prob. 3CYU Ch. 4.4 - Prob. 4CYU Ch. 4.4 - Prob. 5PPS Ch. 4.4 - Prob. 6PPS Ch. 4.4 - Prob. 7PPS Ch. 4.4 - Prob. 8PPS Ch. 4.4 - Prob. 9PPS Ch. 4.4 - Prob. 10PPS Ch. 4.4 - Prob. 11PPS Ch. 4.4 - Prob. 12PPS Ch. 4.4 - Prob. 13PPS Ch. 4.4 - Prob. 14PPS Ch. 4.4 - Prob. 15PPS Ch. 4.4 - Prob. 16PPS Ch. 4.4 - Prob. 17PPS Ch. 4.4 - Prob. 18PPS Ch. 4.4 - Prob. 19PPS Ch. 4.4 - Prob. 20PPS Ch. 4.4 - Prob. 21PPS Ch. 4.4 - Prob. 22PPS Ch. 4.4 - Prob. 23PPS Ch. 4.4 - Prob. 24PPS Ch. 4.4 - Prob. 25PPS Ch. 4.4 - Prob. 26PPS Ch. 4.4 - Prob. 27PPS Ch. 4.4 - Prob. 28PPS Ch. 4.4 - Prob. 29HP Ch. 4.4 - Prob. 30HP Ch. 4.4 - Prob. 31HP Ch. 4.4 - Prob. 32HP Ch. 4.4 - Prob. 33STP Ch. 4.4 - Prob. 34STP Ch. 4.4 - Prob. 35STP Ch. 4.4 - Prob. 36STP Ch. 4.4 - Prob. 37STP Ch. 4.4 - Prob. 38SPR Ch. 4.4 - Prob. 39SPR Ch. 4.4 - Prob. 40SPR Ch. 4.4 - Prob. 41SPR Ch. 4.4 - Prob. 42SPR Ch. 4.4 - Prob. 43SPR Ch. 4.4 - Prob. 44SPR Ch. 4.4 - Prob. 45SPR Ch. 4.4 - Prob. 46SR Ch. 4.4 - Prob. 47SR Ch. 4.4 - Prob. 48SR Ch. 4.4 - Prob. 49SR Ch. 4.5 - Prob. 1CYP Ch. 4.5 - Prob. 2CYP Ch. 4.5 - Prob. 3CYP Ch. 4.5 - Prob. 1CYU Ch. 4.5 - Prob. 2CYU Ch. 4.5 - Prob. 3CYU Ch. 4.5 - Prob. 4CYU Ch. 4.5 - Prob. 5CYU Ch. 4.5 - Prob. 6PPS Ch. 4.5 - Prob. 7PPS Ch. 4.5 - Prob. 8PPS Ch. 4.5 - Prob. 9PPS Ch. 4.5 - Prob. 10PPS Ch. 4.5 - Prob. 11PPS Ch. 4.5 - Prob. 12PPS Ch. 4.5 - Prob. 13PPS Ch. 4.5 - Prob. 14PPS Ch. 4.5 - Prob. 15PPS Ch. 4.5 - Prob. 16PPS Ch. 4.5 - Prob. 17PPS Ch. 4.5 - Prob. 18PPS Ch. 4.5 - Prob. 19PPS Ch. 4.5 - Prob. 20PPS Ch. 4.5 - Prob. 21PPS Ch. 4.5 - Prob. 22HP Ch. 4.5 - Prob. 23HP Ch. 4.5 - Prob. 24HP Ch. 4.5 - Prob. 25HP Ch. 4.5 - Prob. 26HP Ch. 4.5 - Prob. 27STP Ch. 4.5 - Prob. 28STP Ch. 4.5 - Prob. 29STP Ch. 4.5 - Prob. 30STP Ch. 4.5 - Prob. 31SPR Ch. 4.5 - Prob. 32SPR Ch. 4.5 - Prob. 33SPR Ch. 4.5 - Prob. 34SPR Ch. 4.5 - Prob. 35SPR Ch. 4.5 - Prob. 36SPR Ch. 4.5 - Prob. 37SR Ch. 4.5 - Prob. 38SR Ch. 4.6 - Prob. 1ACYP Ch. 4.6 - Prob. 1BCYP Ch. 4.6 - Prob. 2ACYP Ch. 4.6 - Prob. 2BCYP Ch. 4.6 - Prob. 3CYP Ch. 4.6 - Prob. 4CYP Ch. 4.6 - Prob. 1CYU Ch. 4.6 - Prob. 2CYU Ch. 4.6 - Prob. 3CYU Ch. 4.6 - Prob. 4CYU Ch. 4.6 - Prob. 5CYU Ch. 4.6 - Prob. 6CYU Ch. 4.6 - Prob. 7CYU Ch. 4.6 - Prob. 8CYU Ch. 4.6 - Prob. 9PPS Ch. 4.6 - Prob. 10PPS Ch. 4.6 - Prob. 11PPS Ch. 4.6 - Prob. 12PPS Ch. 4.6 - Prob. 13PPS Ch. 4.6 - Prob. 14PPS Ch. 4.6 - Prob. 15PPS Ch. 4.6 - Prob. 16PPS Ch. 4.6 - Prob. 17PPS Ch. 4.6 - Prob. 18PPS Ch. 4.6 - Prob. 19PPS Ch. 4.6 - Prob. 20PPS Ch. 4.6 - Prob. 21PPS Ch. 4.6 - Prob. 22PPS Ch. 4.6 - Prob. 23PPS Ch. 4.6 - Prob. 24PPS Ch. 4.6 - Prob. 25PPS Ch. 4.6 - Prob. 26PPS Ch. 4.6 - Prob. 27PPS Ch. 4.6 - Prob. 28PPS Ch. 4.6 - Prob. 29PPS Ch. 4.6 - Prob. 30PPS Ch. 4.6 - Prob. 31PPS Ch. 4.6 - Prob. 32PPS Ch. 4.6 - Prob. 33PPS Ch. 4.6 - Prob. 34PPS Ch. 4.6 - Prob. 35PPS Ch. 4.6 - Prob. 36PPS Ch. 4.6 - Prob. 37PPS Ch. 4.6 - Prob. 38PPS Ch. 4.6 - Prob. 39PPS Ch. 4.6 - Prob. 40PPS Ch. 4.6 - Prob. 41PPS Ch. 4.6 - Prob. 42PPS Ch. 4.6 - Prob. 43PPS Ch. 4.6 - Prob. 44PPS Ch. 4.6 - Prob. 45HP Ch. 4.6 - Prob. 46HP Ch. 4.6 - Prob. 47HP Ch. 4.6 - Prob. 48HP Ch. 4.6 - Prob. 49HP Ch. 4.6 - Prob. 50HP Ch. 4.6 - Prob. 51HP Ch. 4.6 - Prob. 52STP Ch. 4.6 - Prob. 53STP Ch. 4.6 - Prob. 54STP Ch. 4.6 - Prob. 55STP Ch. 4.6 - Prob. 56SPR Ch. 4.6 - Prob. 57SPR Ch. 4.6 - Prob. 58SPR Ch. 4.6 - Prob. 59SPR Ch. 4.6 - Prob. 60SPR Ch. 4.6 - Prob. 61SPR Ch. 4.6 - Prob. 62SPR Ch. 4.6 - Prob. 63SPR Ch. 4.6 - Prob. 64SPR Ch. 4.6 - Prob. 65SPR Ch. 4.6 - Prob. 66SPR Ch. 4.6 - Prob. 67SR Ch. 4.7 - Prob. 1ACYP Ch. 4.7 - Prob. 1BCYP Ch. 4.7 - Prob. 1CCYP Ch. 4.7 - Prob. 2ACYP Ch. 4.7 - Prob. 2BCYP Ch. 4.7 - Prob. 3CYP Ch. 4.7 - Prob. 1CYU Ch. 4.7 - Prob. 2CYU Ch. 4.7 - Prob. 3CYU Ch. 4.7 - Prob. 4CYU Ch. 4.7 - Prob. 5CYU Ch. 4.7 - Prob. 6CYU Ch. 4.7 - Prob. 7PPS Ch. 4.7 - Prob. 8PPS Ch. 4.7 - Prob. 9PPS Ch. 4.7 - Prob. 10PPS Ch. 4.7 - Prob. 11PPS Ch. 4.7 - Prob. 12PPS Ch. 4.7 - Prob. 13PPS Ch. 4.7 - Prob. 14PPS Ch. 4.7 - Prob. 15PPS Ch. 4.7 - Prob. 16PPS Ch. 4.7 - Prob. 17PPS Ch. 4.7 - Prob. 18PPS Ch. 4.7 - Prob. 19PPS Ch. 4.7 - Prob. 20PPS Ch. 4.7 - Prob. 21PPS Ch. 4.7 - Prob. 22PPS Ch. 4.7 - Prob. 23PPS Ch. 4.7 - Prob. 24PPS Ch. 4.7 - Prob. 25PPS Ch. 4.7 - Prob. 26PPS Ch. 4.7 - Prob. 27PPS Ch. 4.7 - Prob. 28PPS Ch. 4.7 - Prob. 29PPS Ch. 4.7 - Prob. 30PPS Ch. 4.7 - Prob. 31HP Ch. 4.7 - Prob. 32HP Ch. 4.7 - Prob. 33HP Ch. 4.7 - Prob. 34HP Ch. 4.7 - Prob. 35HP Ch. 4.7 - Prob. 36HP Ch. 4.7 - Prob. 37STP Ch. 4.7 - Prob. 38STP Ch. 4.7 - Prob. 39STP Ch. 4.7 - Prob. 40STP Ch. 4.7 - Prob. 41SPR Ch. 4.7 - Prob. 42SPR Ch. 4.7 - Prob. 43SPR Ch. 4.7 - Prob. 44SPR Ch. 4.7 - Prob. 45SPR Ch. 4.7 - Prob. 46SR Ch. 4.7 - Prob. 47SR Ch. 4.7 - Prob. 48SR Ch. 4.7 - Prob. 49SR Ch. 4.7 - Prob. 50SR Ch. 4.7 - Prob. 51SR Ch. 4.8 - Prob. 1CYP Ch. 4.8 - Prob. 2CYP Ch. 4.8 - Prob. 3CYP Ch. 4.8 - Prob. 4CYP Ch. 4.8 - Prob. 1CYU Ch. 4.8 - Prob. 2CYU Ch. 4.8 - Prob. 3CYU Ch. 4.8 - Prob. 4CYU Ch. 4.8 - Prob. 5CYU Ch. 4.8 - Prob. 6CYU Ch. 4.8 - Prob. 7PPS Ch. 4.8 - Prob. 8PPS Ch. 4.8 - Prob. 9PPS Ch. 4.8 - Prob. 10PPS Ch. 4.8 - Prob. 11PPS Ch. 4.8 - Prob. 12PPS Ch. 4.8 - Prob. 13PPS Ch. 4.8 - Prob. 14PPS Ch. 4.8 - Prob. 15PPS Ch. 4.8 - Prob. 16PPS Ch. 4.8 - Prob. 17PPS Ch. 4.8 - Prob. 18PPS Ch. 4.8 - Prob. 19PPS Ch. 4.8 - Prob. 20PPS Ch. 4.8 - Prob. 21PPS Ch. 4.8 - Prob. 22PPS Ch. 4.8 - Prob. 23PPS Ch. 4.8 - Prob. 24PPS Ch. 4.8 - Prob. 25PPS Ch. 4.8 - Prob. 26PPS Ch. 4.8 - Prob. 27PPS Ch. 4.8 - Prob. 28PPS Ch. 4.8 - Prob. 29PPS Ch. 4.8 - Prob. 30HP Ch. 4.8 - Prob. 31HP Ch. 4.8 - Prob. 32HP Ch. 4.8 - Prob. 33HP Ch. 4.8 - Prob. 34HP Ch. 4.8 - Prob. 35HP Ch. 4.8 - Prob. 36HP Ch. 4.8 - Prob. 37HP Ch. 4.8 - Prob. 38STP Ch. 4.8 - Prob. 39STP Ch. 4.8 - Prob. 40STP Ch. 4.8 - Prob. 41STP Ch. 4.8 - Prob. 42SPR Ch. 4.8 - Prob. 43SPR Ch. 4.8 - Prob. 44SPR Ch. 4.8 - Prob. 45SPR Ch. 4.8 - Prob. 46SPR Ch. 4.8 - Prob. 47SPR Ch. 4.8 - Prob. 48SPR Ch. 4.8 - Prob. 49SR Ch. 4.8 - Prob. 50SR Ch. 4.8 - Prob. 51SR Ch. 4 - Prob. 1GRFC Ch. 4 - Prob. 2GRFC Ch. 4 - Prob. 3GRFC Ch. 4 - Prob. 4GRFC Ch. 4 - Prob. 5GRFC Ch. 4 - Prob. 6GRFC Ch. 4 - Prob. 7GRFC Ch. 4 - Prob. 8GRFC Ch. 4 - Prob. 9GRFC Ch. 4 - Prob. 10GRFC Ch. 4 - Prob. 11GRFC Ch. 4 - Prob. 1MCQ Ch. 4 - Prob. 2MCQ Ch. 4 - Prob. 3MCQ Ch. 4 - Prob. 4MCQ Ch. 4 - Prob. 5MCQ Ch. 4 - Prob. 6MCQ Ch. 4 - Prob. 7MCQ Ch. 4 - Prob. 8MCQ Ch. 4 - Prob. 9MCQ Ch. 4 - Prob. 10MCQ Ch. 4 - Prob. 11MCQ Ch. 4 - Prob. 12MCQ Ch. 4 - Prob. 13MCQ Ch. 4 - Prob. 14MCQ Ch. 4 - Prob. 15MCQ Ch. 4 - Prob. 16MCQ Ch. 4 - Prob. 17MCQ Ch. 4 - Prob. 18MCQ Ch. 4 - Prob. 19MCQ Ch. 4 - Prob. 20MCQ Ch. 4 - Prob. 1SGR Ch. 4 - Prob. 2SGR Ch. 4 - Prob. 3SGR Ch. 4 - Prob. 4SGR Ch. 4 - Prob. 5SGR Ch. 4 - Prob. 6SGR Ch. 4 - Prob. 7SGR Ch. 4 - Prob. 8SGR Ch. 4 - Prob. 9SGR Ch. 4 - Prob. 10SGR Ch. 4 - Prob. 11SGR Ch. 4 - Prob. 12SGR Ch. 4 - Prob. 13SGR Ch. 4 - Prob. 14SGR Ch. 4 - Prob. 15SGR Ch. 4 - Prob. 16SGR Ch. 4 - Prob. 17SGR Ch. 4 - Prob. 18SGR Ch. 4 - Prob. 19SGR Ch. 4 - Prob. 20SGR Ch. 4 - Prob. 21SGR Ch. 4 - Prob. 22SGR Ch. 4 - Prob. 23SGR Ch. 4 - Prob. 24SGR Ch. 4 - Prob. 25SGR Ch. 4 - Prob. 26SGR Ch. 4 - Prob. 27SGR Ch. 4 - Prob. 28SGR Ch. 4 - Prob. 29SGR Ch. 4 - Prob. 30SGR Ch. 4 - Prob. 31SGR Ch. 4 - Prob. 32SGR Ch. 4 - Prob. 33SGR Ch. 4 - Prob. 34SGR Ch. 4 - Prob. 35SGR Ch. 4 - Prob. 36SGR Ch. 4 - Prob. 37SGR Ch. 4 - Prob. 38SGR Ch. 4 - Prob. 39SGR Ch. 4 - Prob. 40SGR Ch. 4 - Prob. 41SGR Ch. 4 - Prob. 1PT Ch. 4 - Prob. 2PT Ch. 4 - Prob. 3PT Ch. 4 - Prob. 4PT Ch. 4 - Prob. 5PT Ch. 4 - Prob. 6PT Ch. 4 - Prob. 7PT Ch. 4 - Prob. 8PT Ch. 4 - Prob. 9PT Ch. 4 - Prob. 10PT Ch. 4 - Prob. 11PT Ch. 4 - Prob. 12PT Ch. 4 - Prob. 13PT Ch. 4 - Prob. 14PT Ch. 4 - Prob. 15PT Ch. 4 - Prob. 16PT Ch. 4 - Prob. 17PT Ch. 4 - Prob. 18PT Ch. 4 - Prob. 19PT Ch. 4 - Prob. 20PT Ch. 4 - Prob. 1PST Ch. 4 - Prob. 2PST Ch. 4 - Prob. 3PST Ch. 4 - Prob. 4PST Ch. 4 - Prob. 5PST Ch. 4 - Prob. 6PST Ch. 4 - Prob. 7PST Ch. 4 - Prob. 8PST Ch. 4 - Prob. 9PST Ch. 4 - Prob. 10PST Ch. 4 - Prob. 11PST Ch. 4 - Prob. 12PST Ch. 4 - Prob. 13PST Ch. 4 - Prob. 14PST Ch. 4 - Prob. 15PST

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