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 - 3-7 Equations of Lines in the Coordinate Plane - Practice and Problem-Solving Exercises - Page 196: 65



Work Step by Step

We know that the three interior angles of a triangle equal $180^{\circ}$. If we are already given two of the angles, we can figure out the third angle. Let us set up the equation to add the three angles together. One angle measures $68^{\circ}$, and the other measures $54^{\circ}$. Let $x$ be the measure of the last angle: $68 + 54 + x = 180$ Let's add the constants together on the left side of the equation to simplify: $122 + x = 180$ To solve for $x$, subtract $122$ from each side of the equation: $122 - 122 + x = 180 - 122$ Subtract to simplify: $x = 58$ The third angle measures $58^{\circ}$. This corresponds to option $G$.
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