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Elementary Geometry for College St...

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

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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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For each theorem stated in Exercises 13 to 18, make a Drawing. On the basis of your Drawing, write a Given and a Prove for the theorem.

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

To determine

A drawing, Given and Prove for the given theorem.

Explanation

Given:

The given theorem is,

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

Steps to solve:

Drawing: It represents the hypothesis of the theorem.

Given: It describes the drawing from to the information found in the hypothesis of the theorem.

Prove: It describes the drawing according to the statement formed by the conclusion of the theorem.

Approach:

According to the given theorem make a drawing of two angles that are complementary to the same angle. The sum of two complementary angles is 90°.

Figure (1)

From the above figure given and prove for the given theorem is,

Given: 1 and 3 are complementary to same angle 2

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