Find the value of x. 13. 14. (2x + 10) 2x 50 3x 15. 16. 3x 25 2x°

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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## Find the Value of \( x \).

**Triangle 13:**  
- A right triangle with angles labeled as \( 2x^\circ \) and \( 3x^\circ \).

**Triangle 14:**  
- A right triangle with angles labeled as \( x^\circ \) and \( 50^\circ \), and the third angle labeled as \( (2x + 10)^\circ \).

**Triangle 15:**  
- A right triangle with one angle labeled as \( 25^\circ \) and another as \( x^\circ \).

**Triangle 16:**  
- A triangle with angles labeled as \( 2x^\circ \), \( 3x^\circ \), and \( x^\circ \). 

In each case, use the properties of triangle angles to find the value of \( x \). For right triangles, remember that the sum of the angles is \( 90^\circ \) in addition to the right angle. For non-right triangles, the sum of the angles is \( 180^\circ \).
Transcribed Image Text:## Find the Value of \( x \). **Triangle 13:** - A right triangle with angles labeled as \( 2x^\circ \) and \( 3x^\circ \). **Triangle 14:** - A right triangle with angles labeled as \( x^\circ \) and \( 50^\circ \), and the third angle labeled as \( (2x + 10)^\circ \). **Triangle 15:** - A right triangle with one angle labeled as \( 25^\circ \) and another as \( x^\circ \). **Triangle 16:** - A triangle with angles labeled as \( 2x^\circ \), \( 3x^\circ \), and \( x^\circ \). In each case, use the properties of triangle angles to find the value of \( x \). For right triangles, remember that the sum of the angles is \( 90^\circ \) in addition to the right angle. For non-right triangles, the sum of the angles is \( 180^\circ \).
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