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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 27 to 35, complete the formal proof of each theorem.

If two angles are supplementary to the same angle, then these angels are congruent.

Given: 1 is supp to 2
3 is supp to 2
Prove: 1 3

(HINT: See Exercise 27 for help.)

Chapter 1.7, Problem 28E, In Exercises 27 to 35, complete the formal proof of each theorem. If two angles are supplementary to

To determine

To find:

The complete formal proof of the given theorem.

Explanation

Given:

The statement of given theorem is,

If two angles are supplementary to the same angle, then these angels are congruent.

Given: 1 is supplementary to 2 and 3 is supplementary to 2

Prove: 13

Definition:

If the sum of two angles is 180° then the angles are known as supplementary angles.

Approach:

The formal proof of given theorem is explained in table below.

Statements Reasons
1. 1 is supplementary to 2
3 is supplementary to 2
1. Given
2. m1+m2=180°m2+m3=180° 2. Sum of two supplementary angles is 180°.
3. m1+m2=m2+m3 3. Substitution
4. m1=m3 4

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