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1. m/e 2. m/d 3. m/a 4. m/b e a b d a. 40° b. 140° c. 50° d. 90° 40°

1. m/e 2. m/d 3. m/a 4. m/b e a b d a. 40° b. 140° c. 50° d. 90° 40°

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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## Matching Angles with Their Measures ### Instructions: Match each angle below with its corresponding measure from the given options. ### Diagram Explanation The diagram displays a set of intersecting lines creating several angles, labeled as \(a\), \(b\), \(d\), and \(e\). Notably: - Angle \(b\) is given as 40°. - Angle \(e\) appears to be adjacent to a right angle (90°), forming a straight line with angle \(a\). - Angle \(d\) is adjacent to \(b\) creating a linear pair. - Angle \(a\) forms a right angle (90°). ### Matching Options 1. \( \angle e \) \ Match with: \ a. 40° \ b. 140° \ c. 50° \ d. 90° 2. \( \angle d \) \ Match with: \ a. 40° \ b. 140° \ c. 50° \ d. 90° 3. \( \angle a \) \ Match with: \ a. 40° \ b. 140° \ c. 50° \ d. 90° 4. \( \angle b \) \ Match with: \ a. 40° \ b. 140° \ c. 50° \ d. 90° ### Explanation: - Angle \(b\) is directly given as 40°. - Considering that \(a\) is a right angle, its measure is 90°. - Since \(b\) and \(d\) form a linear pair, and \(b\) is 40°, angle \(d\) would be 140° (180° - 40°). - Angle \(e\) complements angle \(a\) to form a straight line, so it measures 50° (180° - 90° - 40°). ### Solution: 1. \( \angle e \) -> c. 50° 2. \( \angle d \) -> b. 140° 3. \( \angle a \) -> d. 90° 4. \( \angle b \) -> a. 40° ### Summary: This exercise tests your understanding of complementary and supplementary angles as well as the properties of intersecting lines
Transcribed Image Text:## Matching Angles with Their Measures ### Instructions: Match each angle below with its corresponding measure from the given options. ### Diagram Explanation The diagram displays a set of intersecting lines creating several angles, labeled as \(a\), \(b\), \(d\), and \(e\). Notably: - Angle \(b\) is given as 40°. - Angle \(e\) appears to be adjacent to a right angle (90°), forming a straight line with angle \(a\). - Angle \(d\) is adjacent to \(b\) creating a linear pair. - Angle \(a\) forms a right angle (90°). ### Matching Options 1. \( \angle e \) \ Match with: \ a. 40° \ b. 140° \ c. 50° \ d. 90° 2. \( \angle d \) \ Match with: \ a. 40° \ b. 140° \ c. 50° \ d. 90° 3. \( \angle a \) \ Match with: \ a. 40° \ b. 140° \ c. 50° \ d. 90° 4. \( \angle b \) \ Match with: \ a. 40° \ b. 140° \ c. 50° \ d. 90° ### Explanation: - Angle \(b\) is directly given as 40°. - Considering that \(a\) is a right angle, its measure is 90°. - Since \(b\) and \(d\) form a linear pair, and \(b\) is 40°, angle \(d\) would be 140° (180° - 40°). - Angle \(e\) complements angle \(a\) to form a straight line, so it measures 50° (180° - 90° - 40°). ### Solution: 1. \( \angle e \) -> c. 50° 2. \( \angle d \) -> b. 140° 3. \( \angle a \) -> d. 90° 4. \( \angle b \) -> a. 40° ### Summary: This exercise tests your understanding of complementary and supplementary angles as well as the properties of intersecting lines
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