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(5х - 24)° 8х + 9)°.

(5х - 24)° 8х + 9)°.

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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Problem Statement:** Find the value of \( x \). **Diagram Description:** The image displays a triangle with two marked angles. There is an exterior angle formed by extending one side of the triangle: 1. One angle of the triangle is marked as \( (8x + 9)^\circ \). 2. An exterior angle is marked as \( (5x - 24)^\circ \). 3. The other two sides of the triangle are marked with a single line, indicating they are of equal length, forming an isosceles triangle. **Analysis:** In an isosceles triangle, the two base angles are equal. The exterior angle is equal to the sum of the opposite interior angles. Use these properties to find the value of \( x \).
Transcribed Image Text:**Problem Statement:** Find the value of \( x \). **Diagram Description:** The image displays a triangle with two marked angles. There is an exterior angle formed by extending one side of the triangle: 1. One angle of the triangle is marked as \( (8x + 9)^\circ \). 2. An exterior angle is marked as \( (5x - 24)^\circ \). 3. The other two sides of the triangle are marked with a single line, indicating they are of equal length, forming an isosceles triangle. **Analysis:** In an isosceles triangle, the two base angles are equal. The exterior angle is equal to the sum of the opposite interior angles. Use these properties to find the value of \( x \).
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