The diagram shows a triangle. 22-16° What is the value of z? Z= 5z-17° 45⁰

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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**Triangle Diagram Exercise**

The diagram shows a triangle with the following angles:

- Angle A: \(2z - 16^\circ\)
- Angle B: \(5z - 17^\circ\)
- Angle C: \(45^\circ\)

**Question**: What is the value of \(z\)?

**Answer Box**: 
\[ z = \underline{\hspace{2cm}}^\circ \]

**Submit Button**: [Submit]

This exercise asks students to find the value of \(z\) using the properties of triangles. Remember, the sum of the angles in a triangle is always \(180^\circ\). Use this information to set up an equation and solve for \(z\).
Transcribed Image Text:**Triangle Diagram Exercise** The diagram shows a triangle with the following angles: - Angle A: \(2z - 16^\circ\) - Angle B: \(5z - 17^\circ\) - Angle C: \(45^\circ\) **Question**: What is the value of \(z\)? **Answer Box**: \[ z = \underline{\hspace{2cm}}^\circ \] **Submit Button**: [Submit] This exercise asks students to find the value of \(z\) using the properties of triangles. Remember, the sum of the angles in a triangle is always \(180^\circ\). Use this information to set up an equation and solve for \(z\).
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