Thinking Mathematically (6th Edition)

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

Chapter 10 - Geometry - 10.2 Triangles - Exercise Set 10.2: 5

Answer

1: 50° 2: 130° 3: 50° 4: 130° 5:50°

Work Step by Step

The sum of the three interior angles of a triangle is 180 degrees. Angle 1 + 40° +90° = 180° Angle 1 =180°-90°-40°=50° Angle 1 = 50° Angle 1 and Angle 2 are Supplementary Angles: Thus Angle 1 + Angle 2 = 180° Angle 2 = 180° - Angle 1 =180°-50° = 130° Angle 2 = 130° Angle 3 = Angle 1 as they are vertical angles Angle 3= Angle 1 = 50° Angle 4 = Angle 2 as they are vertical angles Angle 4 = Angle 2 = 130° Angle 3 + 80° + Angle 5 = 180° as they are the interior angles of a triangle Angle 5= 180°-80°- Angle 3= 100°-50°=50° Angle 5 = 50°
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