Write a statement or reason to complete each stepin the proof. The first one is done for you.23. Given: mz1=m2; Z1 and 22 are a linear pair.Prove: m21 = 90°StatementReason1. 21 and Z2 are a linear pair.1. a.Given2. 21 and 22 are supplementary.2. Linear Pair Theorem3. mz1 + mZ2 = b.3. Definition of Supplementary Angles4. m/1=m224. Given5. 2 mz1 = 180°5. C.Prop. of =6. d.6. Division Prop. of =

The statements, we have give a reason for each step.

Write a statement or reason to complete each step in the proof. The first one is done for you. 3. Given: m1=mZ2; Z1 and 22 are a linear pair. Prove: m21 = 90° Statement Reason 1. 21 and 22 are a linear pair. 1. a. Given 2. 21 and 2 are supplementary. 2. Linear Pair Theorem 3. m21 + m22 = b. 3. Definition of Supplementary Angles 4. m21=mZ2 4. Given 5. 2 mz1 =180° 5. C. Prop. of = 6. d. 6. Division Prop. of =

Write a statement or reason to complete each step in the proof. The first one is done for you. 3. Given: m1=mZ2; Z1 and 22 are a linear pair. Prove: m21 = 90° Statement Reason 1. 21 and 22 are a linear pair. 1. a. Given 2. 21 and 2 are supplementary. 2. Linear Pair Theorem 3. m21 + m22 = b. 3. Definition of Supplementary Angles 4. m21=mZ2 4. Given 5. 2 mz1 =180° 5. C. Prop. of = 6. d. 6. Division Prop. of =

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.

Question

Write a statement or reason to complete each step
in the proof. The first one is done for you.
2
3. Given: mz1=m2; Z1 and 22 are a linear pair.
Prove: m21 = 90°
Statement
Reason
1. 21 and Z2 are a linear pair.
1. a.
Given
2. 21 and 22 are supplementary.
2. Linear Pair Theorem
3. mz1 + mZ2 = b.
3. Definition of Supplementary Angles
4. m/1=m22
4. Given
5. 2 mz1 = 180°
5. C.
Prop. of =
6. d.
6. Division Prop. of =

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