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

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.3: Isosceles Triangles

Problem 24E: In concave quadrilateral ABCD, the angle at A measures 40. ABD is isosceles, BC bisects ABD, and DC...

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Question

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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