Answer
$x = \frac{20}{3}$
Work Step by Step
In the kite $ABCD$, the measures of $\angle B$ and $\angle D$ are equal.
We can find $x$:
$m\angle B = m\angle D$
$\frac{3x}{2}+2 = \frac{9x}{4} - 3$
$6x+8 = 9x - 12$
$3x = 20$
$x = \frac{20}{3}$
Elementary Geometry for College Students (6th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
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
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
