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Suppose a triangle has angles ZA, ZB, and ZC. If the measure of ZB three times the measure of ZA, and the measure of ZC is 5° greater than the measure of ZA, what are the measures of all three angles? Is the triangle a right triangle, an acute triangle, or an obtuse triangle?

Suppose a triangle has angles ZA, ZB, and ZC. If the measure of ZB three times the measure of ZA, and the measure of ZC is 5° greater than the measure of ZA, what are the measures of all three angles? Is the triangle a right triangle, an acute triangle, or an obtuse triangle?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.4: Basic Constructions Justified
Problem 38E
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Suppose a triangle has angles ZA, ZB, and ZC. If the measure of ZB three times the measure of ZA, and the measure of ZC is 5° greater than the measure of ZA, what are the measures of all three angles? Is the triangle a right triangle, an acute triangle, or an obtuse triangle?
Transcribed Image Text:Suppose a triangle has angles ZA, ZB, and ZC. If the measure of ZB three times the measure of ZA, and the measure of ZC is 5° greater than the measure of ZA, what are the measures of all three angles? Is the triangle a right triangle, an acute triangle, or an obtuse triangle?
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