   Chapter 1.5, Problem 30E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 27 to 35, complete the formal proof of each theorem.Any two right angles are congruent.

To determine

To find:

The complete formal proof of the given theorem.

Explanation

Given:

The statement of given theorem is,

Any two right angles are congruent.

Definition:

If the measure of two angles is equal then the angles are congruent.

Approach:

According to the given theorem, make a drawing of two right angles.

Figure (1)

From figure (1), it can be observed that,

Given: 1 and 2 are right angles

Prove: 12

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

 Statements Reasons 1. ∠1 and ∠2 are right angles 1. Given 2. m∠1=90° and m∠2=90° 2. The measure of right angle is 90°. 3. m∠1=m∠2 3

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