Geometry: Common Core (15th Edition)

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

Chapter 6 - Polygons and Quadrilaterals - 6-3 Proving That a Quadrilateral Is a Parallelogram - Lesson Check - Page 372: 1

Answer

$y = 112$

Work Step by Step

In a parallelogram, an angle must be supplementary to its two consecutive sides. If we subtract the measure of the consecutive angle from $180^{\circ}$, then we can find the measure of the unknown angle: $m \angle P = 180 - m \angle L$ Let's plug in what we know: $y = 180 - 68$ Subtract to solve: $y = 112$
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