Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.1 Points, Lines, Planes, and Angles - Exercise Set 10.1 - Page 617: 32

Answer

See below.

Work Step by Step

Angles $2$ and $40^\circ$ add up to $90$ degrees thus Angle $2$ is $90-40=50^\circ$. Angles $1$, $2$ and $40^\circ$ add up to $180$ degrees thus Angle $12$ is $180-50-40=90^\circ$. Angle $3$ is $40^\circ$ plus angle $1$ because both the lines making the angle up are parallel to that angle, thus it is $90^\circ+40^\circ=130^\circ.$
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