Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 4 - Section 4.2 - The Parallelogram and Kite - Exercises - Page 186: 32


$x = \frac{20}{3}$

Work Step by Step

In the kite $ABCD$, the measures of $\angle B$ and $\angle D$ are equal. We can find $x$: $m\angle B = m\angle D$ $\frac{3x}{2}+2 = \frac{9x}{4} - 3$ $6x+8 = 9x - 12$ $3x = 20$ $x = \frac{20}{3}$
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