Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 2 - Section 2.6 - Problem Solving in Geometry - Exercise Set - Page 180: 75

Answer

A triangle cannot contain two 90° angles because these angles, added together already equal 180°. The measure of all the angles of a triangle must invariably equal 180°. If two angles added together already measure 180°, then the third angle, in this case, has no measurement. An angle cannot have a measure of 0°. Therefore, at least one of the angles must have a measure of less than 90° in order for a triangle to be possible.

Work Step by Step

A triangle cannot contain two 90° angles because these angles, added together already equal 180°. The measure of all the angles of a triangle must invariably equal 180°. If two angles added together already measure 180°, then the third angle, in this case, has no measurement. An angle cannot have a measure of 0°. Therefore, at least one of the angles must have a measure of less than 90° in order for a triangle to be possible.
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