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 - Practice and Problem-Solving Exercises - Page 372: 12

Answer

$x = 13$

Work Step by Step

In a parallelogram, opposite angles are congruent. Let us set opposite angles equal to one another to solve for $x$: $x + 38 = 4x - 1$ Subtract $38$ from each side of the equation to isolate constants on one side of the equation: $x = 4x - 39$ Subtract $4x$ from each side of the equation to isolate the variable on one side of the equation: $-3x = -39$ Divide each side of the equation by $-3$ to solve for $x$: $x = 13$
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