8. In an isosceles triangle, the measure of a base angle is (2x + 5)°. At the vertex, the measure of an exterior angle is (5x - 3)°. (a) Neatly sketch and label a diagram that illustrates the given information. (b) Write and solve an equation to find x. Describe the properties that you used to write the equation. Find the measures of the angles of the triangle. (c) Find the measures of the angles in the triangle.
8. In an isosceles triangle, the measure of a base angle is (2x + 5)°. At the vertex, the measure of an exterior angle is (5x - 3)°. (a) Neatly sketch and label a diagram that illustrates the given information. (b) Write and solve an equation to find x. Describe the properties that you used to write the equation. Find the measures of the angles of the triangle. (c) Find the measures of the angles in the 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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:8. In an isosceles triangle, the measure of a base angle is (2x + 5)°. At the vertex, the measure of an exterior
angle is (5x-3)°.
(a) Neatly sketch and label a diagram that illustrates the given information.
(b) Write and solve an equation to find x. Describe the properties that you used to write the equation.
Find the measures of the angles of the triangle.
(c) Find the measures of the angles in the triangle.
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