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
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.4: The Angles Of A Triangle
Problem 23E: Consider any triangle and one exterior angle at each vertex. What is the sum of the measures of the...
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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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