Chapter 3.3, Problem 23E

### Elementary Geometry for College St...

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

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 âˆ  1 and m âˆ  2 if m âˆ  3 = 68 Â° .

To determine

To find:

The measure of m1 and m2.

Explanation

Given:

The given figure is,

Figure (1)

And,

mâˆ 3=68Â°.

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 180Â°.

Calculation:

From figure (1),

mâˆ 2=mâˆ 3mâˆ 2=68Â°

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

mâˆ 1+mâˆ 2+mâˆ 3=180Â°â€¦(1)

Substitute 68Â°<

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