a. Answer The measurement of ∠ P S Q = 45 ∘ Explanation Given: P S ¯ ⊥ S R ¯ and ∠ P = 36 ∘ Concept used: Here, we are using the concept of angle bisector theorem Calculation: Here, OS bisects the ∠ P S R because OS is radius of circle . So that, ∠ P S Q = 45 ∘ Conclusion: Hence, the measurement of ∠ P S Q = 45 ∘ b. To determine The measurement of ∠ R Answer The measurement of ∠ R = 54 ∘ Explanation Given: P S ¯ ⊥ S R ¯ and ∠ P = 36 ∘ Concept used: Here, we are using the concept of linear angle theorem Calculation: Here, P S ¯ ⊥ S R ¯ and ∠ P = 36 ∘ So, ∠ P + ∠ S + ∠ R = 180 ∘ → 36 ∘ + 90 ∘ + ∠ R = 180 ∘ → ∠ R = 180 ∘ − 126 ∘ → ∠ R = 54 ∘ Conclusion: Hence, the measurement of ∠ R = 54 ∘

91st Edition

ISBN: 9780866099653

Author: Richard Rhoad, George Milauskas, Robert Whipple

Publisher: McDougal Littell

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Question

Chapter 3.7, Problem 12PSB

To determine

The measurement of ∠PSQ

Expert Solution

Answer to Problem 12PSB

The measurement of ∠PSQ = 45∘

Explanation of Solution

Given: PS¯⊥SR¯ and ∠P=36∘

Concept used: Here, we are using the concept of angle bisector theorem

Calculation: Here, OS bisects the ∠PSR because OS is radius of circle.

So that, ∠PSQ=45∘

Conclusion: Hence, the measurement of ∠PSQ = 45∘

To determine

The measurement of ∠R

Expert Solution

Answer to Problem 12PSB

The measurement of ∠R=54∘

Explanation of Solution

Given: PS¯⊥SR¯ and ∠P=36∘

Concept used: Here, we are using the concept of linear angle theorem

Calculation: Here, PS¯⊥SR¯ and ∠P=36∘

So, ∠P+∠S+∠R=180∘

→36∘+90∘+∠R=180∘

→∠R=180∘−126∘

→∠R=54∘

Conclusion: Hence, the measurement of ∠R=54∘

Chapter 3.7, Problem 11PSA

Chapter 3.7, Problem 13PSB

Chapter 3 Solutions

Geometry For Enjoyment And Challenge

Ch. 3.1 - Prob. 1PSA Ch. 3.1 - Prob. 2PSA Ch. 3.1 - Prob. 3PSA Ch. 3.1 - Prob. 4PSA Ch. 3.1 - Prob. 5PSA Ch. 3.2 - Prob. 1PSA Ch. 3.2 - Prob. 2PSA Ch. 3.2 - Prob. 3PSA Ch. 3.2 - Prob. 4PSA Ch. 3.2 - Prob. 5PSA

Ch. 3.2 - Prob. 6PSA Ch. 3.2 - Prob. 7PSA Ch. 3.2 - Prob. 8PSA Ch. 3.2 - Prob. 9PSA Ch. 3.2 - Prob. 10PSA Ch. 3.2 - Prob. 11PSA Ch. 3.2 - Prob. 12PSA Ch. 3.2 - Prob. 13PSA Ch. 3.2 - Prob. 14PSA Ch. 3.2 - Prob. 15PSA Ch. 3.2 - Prob. 16PSA Ch. 3.2 - Prob. 17PSB Ch. 3.2 - Prob. 18PSB Ch. 3.2 - Prob. 19PSB Ch. 3.2 - Prob. 20PSB Ch. 3.2 - Prob. 21PSB Ch. 3.2 - Prob. 22PSB Ch. 3.2 - Prob. 23PSB Ch. 3.2 - Prob. 24PSB Ch. 3.2 - Prob. 25PSB Ch. 3.2 - Prob. 26PSC Ch. 3.2 - Prob. 27PSC Ch. 3.2 - Prob. 28PSC Ch. 3.3 - Prob. 1PSA Ch. 3.3 - Prob. 2PSA Ch. 3.3 - Prob. 3PSA Ch. 3.3 - Prob. 4PSA Ch. 3.3 - Prob. 5PSA Ch. 3.3 - Prob. 6PSA Ch. 3.3 - Prob. 7PSA Ch. 3.3 - Prob. 8PSA Ch. 3.3 - Prob. 9PSA Ch. 3.3 - Prob. 10PSA Ch. 3.3 - Prob. 11PSA Ch. 3.3 - Prob. 12PSB Ch. 3.3 - Prob. 13PSB Ch. 3.3 - Prob. 14PSB Ch. 3.3 - Prob. 15PSB Ch. 3.3 - Prob. 16PSB Ch. 3.3 - Prob. 17PSB Ch. 3.3 - Prob. 18PSB Ch. 3.3 - Prob. 19PSB Ch. 3.3 - Prob. 20PSB Ch. 3.3 - Prob. 21PSC Ch. 3.3 - Prob. 22PSC Ch. 3.3 - Prob. 23PSC Ch. 3.4 - Prob. 1PSA Ch. 3.4 - Prob. 2PSA Ch. 3.4 - Prob. 3PSA Ch. 3.4 - Prob. 4PSA Ch. 3.4 - Prob. 5PSA Ch. 3.4 - Prob. 6PSA Ch. 3.4 - Prob. 7PSA Ch. 3.4 - Prob. 8PSB Ch. 3.4 - Prob. 9PSB Ch. 3.4 - Prob. 10PSB Ch. 3.4 - Prob. 11PSB Ch. 3.4 - Prob. 12PSC Ch. 3.4 - Prob. 13PSC Ch. 3.4 - Prob. 14PSC Ch. 3.4 - Prob. 15PSC Ch. 3.5 - Prob. 1PSA Ch. 3.5 - Prob. 2PSA Ch. 3.5 - Prob. 3PSA Ch. 3.5 - Prob. 4PSA Ch. 3.5 - Prob. 5PSA Ch. 3.5 - Prob. 6PSB Ch. 3.5 - Prob. 7PSB Ch. 3.5 - Prob. 8PSB Ch. 3.5 - Prob. 9PSB Ch. 3.5 - Prob. 10PSB Ch. 3.5 - Prob. 11PSB Ch. 3.5 - Prob. 12PSC Ch. 3.5 - Prob. 13PSC Ch. 3.5 - Prob. 14PSC Ch. 3.6 - Prob. 1PSA Ch. 3.6 - Prob. 2PSA Ch. 3.6 - Prob. 3PSA Ch. 3.6 - Prob. 4PSA Ch. 3.6 - Prob. 5PSA Ch. 3.6 - Prob. 6PSA Ch. 3.6 - Prob. 7PSB Ch. 3.6 - Prob. 8PSB Ch. 3.6 - Prob. 9PSB Ch. 3.6 - Prob. 10PSB Ch. 3.6 - Prob. 11PSB Ch. 3.6 - Prob. 12PSB Ch. 3.6 - Prob. 13PSB Ch. 3.6 - Prob. 14PSC Ch. 3.6 - Prob. 15PSC Ch. 3.6 - Prob. 16PSC Ch. 3.7 - Prob. 1PSA Ch. 3.7 - Prob. 2PSA Ch. 3.7 - Prob. 3PSA Ch. 3.7 - Prob. 4PSA Ch. 3.7 - Prob. 5PSA Ch. 3.7 - Prob. 6PSA Ch. 3.7 - Prob. 7PSA Ch. 3.7 - Prob. 8PSA Ch. 3.7 - Prob. 9PSA Ch. 3.7 - Prob. 10PSA Ch. 3.7 - Prob. 11PSA Ch. 3.7 - Prob. 12PSB Ch. 3.7 - Prob. 13PSB Ch. 3.7 - Prob. 14PSB Ch. 3.7 - Prob. 15PSB Ch. 3.7 - Prob. 16PSB Ch. 3.7 - Prob. 17PSB Ch. 3.7 - Prob. 18PSB Ch. 3.7 - Prob. 19PSB Ch. 3.7 - Prob. 20PSB Ch. 3.7 - Prob. 21PSB Ch. 3.7 - Prob. 22PSC Ch. 3.7 - Prob. 23PSC Ch. 3.7 - Prob. 24PSC Ch. 3.7 - Prob. 25PSC Ch. 3.8 - Prob. 1PSA Ch. 3.8 - Prob. 2PSA Ch. 3.8 - Prob. 3PSA Ch. 3.8 - Prob. 4PSA Ch. 3.8 - Prob. 5PSA Ch. 3.8 - Prob. 6PSA Ch. 3.8 - Prob. 7PSB Ch. 3.8 - Prob. 8PSB Ch. 3.8 - Prob. 9PSB Ch. 3.8 - Prob. 10PSB Ch. 3.8 - Prob. 11PSB Ch. 3.8 - Prob. 12PSB Ch. 3.8 - Prob. 13PSB Ch. 3.8 - Prob. 14PSB Ch. 3.8 - Prob. 15PSB Ch. 3.8 - Prob. 16PSC Ch. 3.8 - Prob. 17PSC Ch. 3.8 - Prob. 18PSD Ch. 3 - Prob. 1RP Ch. 3 - Prob. 2RP Ch. 3 - Prob. 3RP Ch. 3 - Prob. 4RP Ch. 3 - Prob. 5RP Ch. 3 - Prob. 6RP Ch. 3 - Prob. 7RP Ch. 3 - Prob. 8RP Ch. 3 - Prob. 9RP Ch. 3 - Prob. 10RP Ch. 3 - Prob. 11RP Ch. 3 - Prob. 12RP Ch. 3 - Prob. 13RP Ch. 3 - Prob. 14RP Ch. 3 - Prob. 15RP Ch. 3 - Prob. 16RP Ch. 3 - Prob. 17RP Ch. 3 - Prob. 18RP Ch. 3 - Prob. 1CR Ch. 3 - Prob. 2CR Ch. 3 - Prob. 3CR Ch. 3 - Prob. 4CR Ch. 3 - Prob. 5CR Ch. 3 - Prob. 6CR Ch. 3 - Prob. 7CR Ch. 3 - Prob. 8CR Ch. 3 - Prob. 9CR Ch. 3 - Prob. 10CR Ch. 3 - Prob. 11CR Ch. 3 - Prob. 12CR Ch. 3 - Prob. 13CR Ch. 3 - Prob. 14CR Ch. 3 - Prob. 15CR Ch. 3 - Prob. 16CR Ch. 3 - Prob. 17CR Ch. 3 - Prob. 18CR Ch. 3 - Prob. 19CR Ch. 3 - Prob. 20CR Ch. 3 - Prob. 21CR Ch. 3 - Prob. 22CR Ch. 3 - Prob. 23CR Ch. 3 - Prob. 24CR

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