Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 6 - Polygons and Quadrilaterals - Chapter Review - Page 423: 31


$x = 18$

Work Step by Step

In a rhombus, diagonals bisect opposite angles. In this diagram, we have an angle bisected by the diagonal, so we can set the two expressions for the two angles equal to one another. $5x - 30 = 3x + 6$ Add $30$ to each side of the equation to move constants to the right side of the equation: $5x = 3x + 36$ Subtract $3x$ from each side of the equation to move variables to the left side of the equation: $2x = 36$ Divide each side by $2$ to solve for $x$: $x = 18$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.