   Chapter 4.2, Problem 32E 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

For Exercises 32 to 35, consider kite A B C D with A B ¯ ≅ A D ¯ and B C ¯ ≅ D C ¯ . For kite A B C D , m ∠ B = 3 x 2 + 2 and m ∠ D = 9 x 4 - 3 .Find x

To determine

To find:

The value of x.

Explanation

Calculation:

Given,

The kite ABCD with

mB=3x2+2 and

mD=9x4-3

Since, a pair of opposite angles are equal in a kite which lie between the sides of unequal lengths of adjacent sides, we have

mB=mD

3x2+2=9x4-3

Add; -9x4 on both sides,

3x2+2+-9x4=9x4-3+-9x4

3x2+-9x4+2=9x4+-9x4+-3

3x2·22+

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