**Find the Values of x, y, and z**In this exercise, we are given a diagram consisting of a circle and several angles associated with different arcs and lines intersecting at various points. You are required to determine the values of the angles labeled as $ x $, $ y $, and $ z $ based on the given information.**Diagram Breakdown:**1. **Circle:** - Inside the circle, one of the central angles is labeled as $ 110^\circ $. - Another angle inscribed in the circle is represented as $ x^\circ $ opposite to the $ 110^\circ $ angle.2. **External Angles and Lines:** - There is an external angle $ 95^\circ $ that intersects the circle at two points, creating two arcs. - An angle of $ 20^\circ $ and an angle of $ 35^\circ $ are also present, forming additional intersections outside the circle leading to the angle labeled as $ z^\circ $. - The angle $ y^\circ $ is formed by extending one of the lines intercepting the circle's boundary.**Values to Determine:**- $ x = $- $ y = $- $ z = $Using your knowledge of circle theorems and angle properties, calculate the values of $ x $, $ y $, and $ z $.

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Description: **Find the Values of x, y, and z**In this exercise, we are given a diagram consisting of a circle and several angles associated with different arcs and lines intersecting at various points. You are required to determine the values of the angles labe

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Answered: find the value of x, y and z. 200 35°…

Math

Geometry

find the value of x, y and z. 200 35° 95° 110° %3D

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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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

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**Find the Values of x, y, and z**

In this exercise, we are given a diagram consisting of a circle and several angles associated with different arcs and lines intersecting at various points. You are required to determine the values of the angles labeled as $ x $, $ y $, and $ z $ based on the given information.

**Diagram Breakdown:**
1. **Circle:**
- Inside the circle, one of the central angles is labeled as $ 110^\circ $.
- Another angle inscribed in the circle is represented as $ x^\circ $ opposite to the $ 110^\circ $ angle.

2. **External Angles and Lines:**
- There is an external angle $ 95^\circ $ that intersects the circle at two points, creating two arcs.
- An angle of $ 20^\circ $ and an angle of $ 35^\circ $ are also present, forming additional intersections outside the circle leading to the angle labeled as $ z^\circ $.
- The angle $ y^\circ $ is formed by extending one of the lines intercepting the circle's boundary.

**Values to Determine:**
- $ x = $
- $ y = $
- $ z = $

Using your knowledge of circle theorems and angle properties, calculate the values of $ x $, $ y $, and $ z $.

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