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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

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
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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### 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.
Transcribed Image Text:### 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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