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70° 30°

70° 30°

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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Use the diagram below to find the value of x and y

This image depicts a triangle with two labeled angles: 70° and 30°. Extending from the 70° angle, there are two intersecting line segments forming external angles, labeled as \(x^\circ\) and \(y^\circ\). ### Detailed Explanation: - **Triangle Angles:** - One angle inside the triangle is 70°. - Another angle inside the triangle is 30°. - **Exterior Angles:** - Angle \(x^\circ\) is adjacent to the 70° angle. - Angle \(y^\circ\) is formed by the extension of one side and the intersection with another line, creating an exterior angle. ### Key Concepts: - The sum of angles in a triangle is always 180°. - Exterior angles of a triangle are equal to the sum of the opposite interior angles. This diagram can be used to explore concepts related to triangle angle sums and the properties of exterior angles.
Transcribed Image Text:This image depicts a triangle with two labeled angles: 70° and 30°. Extending from the 70° angle, there are two intersecting line segments forming external angles, labeled as \(x^\circ\) and \(y^\circ\). ### Detailed Explanation: - **Triangle Angles:** - One angle inside the triangle is 70°. - Another angle inside the triangle is 30°. - **Exterior Angles:** - Angle \(x^\circ\) is adjacent to the 70° angle. - Angle \(y^\circ\) is formed by the extension of one side and the intersection with another line, creating an exterior angle. ### Key Concepts: - The sum of angles in a triangle is always 180°. - Exterior angles of a triangle are equal to the sum of the opposite interior angles. This diagram can be used to explore concepts related to triangle angle sums and the properties of exterior angles.
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