### Determining the Value of x in an Angle Diagram**Problem Statement:**What is the value of $ x $ in the figure below?```a. 70°b. 81°c. 100°d. 210°```**Figure Description:**The figure consists of several lines forming angles at various points. The following angles are labeled:- $ 81° $ appears at the top left corner.- $ 47° $ appears at the top center.- $ 60° $ appears at the top right.- $ 102° $ appears at the bottom right.- $ x° $ is the angle we need to determine and it appears at the bottom left.**Instructions:**To calculate the missing angle $ x $, you will need to apply the properties of angles, such as the sum of angles around a point or the sum of the interior angles of a polygon, considering the specific shape formed by the lines in the figure.**Approach:**1. Identify any transversal or supplementary angles.2. Sum the given angles.3. Use geometric properties to find the unknown angle $ x $.This problem tests your understanding of angle relationships and properties within a geometric figure. Review relevant geometry concepts such as adjacent angles, supplementary angles, and the sum of angles in polygons to solve the problem effectively.

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Math

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What is the value of x in the figure below? a. 70° b. 81° 47* C. 100° 81 60 d. 210° 102

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

### Determining the Value of x in an Angle Diagram

**Problem Statement:**
What is the value of $ x $ in the figure below?

```
a. 70°
b. 81°
c. 100°
d. 210°
```

**Figure Description:**
The figure consists of several lines forming angles at various points. The following angles are labeled:

- $ 81° $ appears at the top left corner.
- $ 47° $ appears at the top center.
- $ 60° $ appears at the top right.
- $ 102° $ appears at the bottom right.
- $ x° $ is the angle we need to determine and it appears at the bottom left.

**Instructions:**
To calculate the missing angle $ x $, you will need to apply the properties of angles, such as the sum of angles around a point or the sum of the interior angles of a polygon, considering the specific shape formed by the lines in the figure.

**Approach:**
1. Identify any transversal or supplementary angles.
2. Sum the given angles.
3. Use geometric properties to find the unknown angle $ x $.

This problem tests your understanding of angle relationships and properties within a geometric figure. Review relevant geometry concepts such as adjacent angles, supplementary angles, and the sum of angles in polygons to solve the problem effectively.

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