   Chapter 1.7, Problem 35E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### 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.The supplement of an acute angle is an obtuse angle.(HINT: Use Exercise 28 of Section 1.4 as a guide.)

To determine

To find:

The complete formal proof of the given theorem.

Explanation

Given:

The given statement is,

The supplement of an acute angle is obtuse angle.

Approach:

According to the given statement of theorem, make a drawing.

Figure (1)

From figure (1), it can be observed that given and prove for theorem is,

Given: 1 is supplementary to 2 and 1 is actue angle.

Prove: 2 is obtuse.

The reasons for given statements is explained in table below.

 Statements Reasons 1. ∠1 and ∠2 are supplementary 1. Given 2. m∠1+m∠2=180° 2. The sum of measures of supplementary angles ∠1 and ∠2 is 180°. 3. ∠1 is acute 3. Given 4. Where m∠1=x, 0

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