Geometry: Common Core (15th Edition)

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

Chapter 3 - Parallel and Perpendicular Lines - 3-5 Parallel Lines and Triangles - Lesson Check - Page 175: 1


The third angle is $58^{\circ}$.

Work Step by Step

The measures of the three angles of a triangle equal $180^{\circ}$; therefore, if we have the measure of two angles, we can figure out the measure of the third angle. $34 + 88 + x = 180$ Add the constants on the left side together: $122 + x = 180$ Subtract $122$ from each side to solve for $x$: $x = 58$ The third angle is $58^{\circ}$.
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