Geometry: Common Core (15th Edition)

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

Chapter 6 - Polygons and Quadrilaterals - 6-2 Properties of Parallelograms - Practice and Problem-Solving Exercises - Page 364: 25


$a = 20$

Work Step by Step

We are given that the diagram is that of a parallelogram. Opposite angles of a parallelogram are congruent. We can set the two opposite angles equal to one another: $6a + 10 = 130$ Subtract $10$ from each side of the equation to isolate constants to one side of the equation: $6a = 120$ Divide both sides of the equation by $6$ to solve for $a$: $a = 20$
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.