Use the triangle below to find the value of x The image depicts a triangle with three interior angles. The measures of the angles are expressed in terms of the variable \(x\):1. The top angle is labeled as \((7x + 8)^\circ\).2. The bottom left angle is labeled as \((7x - 1)^\circ\).3. The bottom right angle is labeled as \((5x + 2)^\circ\).To solve for \(x\) or to find the angle measures, you can use the fact that the sum of the interior angles in any triangle is \(180^\circ\). Therefore, you can set up the following equation:\[(7x + 8) + (7x - 1) + (5x + 2) = 180\]Solving this equation will give you the value of \(x\), which can then be substituted back into the expressions to find the specific measures of each angle.

Answered: Image /qna-images/answer/0b80d977-e03f-4fb4-a095-05358d8e1da4.jpg

Answered: (7x +8)" (5х +2)° (7x -1)°

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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Use the triangle below to find the value of x

The image depicts a triangle with three interior angles. The measures of the angles are expressed in terms of the variable \(x\):

1. The top angle is labeled as \((7x + 8)^\circ\).
2. The bottom left angle is labeled as \((7x - 1)^\circ\).
3. The bottom right angle is labeled as \((5x + 2)^\circ\).

To solve for \(x\) or to find the angle measures, you can use the fact that the sum of the interior angles in any triangle is \(180^\circ\). Therefore, you can set up the following equation:

\[
(7x + 8) + (7x - 1) + (5x + 2) = 180
\]

Solving this equation will give you the value of \(x\), which can then be substituted back into the expressions to find the specific measures of each angle.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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