   Chapter 3.3, Problem 23E ### 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 23 to 28, use arithmetic or algebra, as needed, tofind the measures indicated. Note the use of dashes on equalsides of the given isosceles triangles. Find m ∠ 1 and m ∠ 2 if m ∠ 3 = 68 ° . To determine

To find:

The measure of m1 and m2.

Explanation

Given:

The given figure is,

Figure (1)

And,

m3=68°.

Approach:

(1) An isosceles triangle has two equal sides and two equal angles corresponding to the angles.

(2) The measure of sum of angles of a triangle is equal to 180°.

Calculation:

From figure (1),

m2=m3m2=68°

Equate the sum of angles of a triangle to 180°.

m1+m2+m3=180°(1)

Substitute 68°<

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