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Find the value of x. 13. 14. (5x + 15)° 3x (5x- 14) 15. 16. 4x° 8x + 52x 11 3x 40 3x 17. 18. 70 519 (3x – 10) to

Find the value of x. 13. 14. (5x + 15)° 3x (5x- 14) 15. 16. 4x° 8x + 52x 11 3x 40 3x 17. 18. 70 519 (3x – 10) to

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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Question
**Find the value of x:** 1. **Triangle Problem 13:** - A right triangle with two angles labeled. - One angle is \(3x^\circ\). - The other angle is \((5x - 14)^\circ\). 2. **Triangle Problem 14:** - A triangle with two angles labeled. - One angle is \((5x + 15)^\circ\). 3. **Triangle Problem 15:** - A right triangle with three angles labeled. - One angle is \(8x + 5\). - Another angle is \(2x + 11\). - The angle opposite the right angle is \(3x\). 4. **Quadrilateral Problem 16:** - A parallelogram with internal angles labeled. - One angle is \(40^\circ\). - The angle consecutive to it is \(4x^\circ\). - The other angle is labeled as \(3x^\circ\). 5. **Triangle Problem 17:** - A triangle with two angles labeled. - One angle is \(70^\circ\). - The other angle is \((3x - 10)^\circ\). 6. **Isosceles Triangle Problem 18:** - An isosceles triangle with one angle labeled. - One angle is \(51^\circ\). - The other equal angles are labeled as \(x^\circ\). **Instructions:** Solve for \(x\) in each configuration using appropriate geometric principles.
Transcribed Image Text:**Find the value of x:** 1. **Triangle Problem 13:** - A right triangle with two angles labeled. - One angle is \(3x^\circ\). - The other angle is \((5x - 14)^\circ\). 2. **Triangle Problem 14:** - A triangle with two angles labeled. - One angle is \((5x + 15)^\circ\). 3. **Triangle Problem 15:** - A right triangle with three angles labeled. - One angle is \(8x + 5\). - Another angle is \(2x + 11\). - The angle opposite the right angle is \(3x\). 4. **Quadrilateral Problem 16:** - A parallelogram with internal angles labeled. - One angle is \(40^\circ\). - The angle consecutive to it is \(4x^\circ\). - The other angle is labeled as \(3x^\circ\). 5. **Triangle Problem 17:** - A triangle with two angles labeled. - One angle is \(70^\circ\). - The other angle is \((3x - 10)^\circ\). 6. **Isosceles Triangle Problem 18:** - An isosceles triangle with one angle labeled. - One angle is \(51^\circ\). - The other equal angles are labeled as \(x^\circ\). **Instructions:** Solve for \(x\) in each configuration using appropriate geometric principles.
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