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Which angles have measure same as 88 degrees

Which angles have measure same as 88 degrees

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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Which angles have measure same as 88 degrees

The image shows two parallel lines intersected by a transversal line, creating eight angles. The angles are numbered 1 through 7, with angle 7 explicitly marked as 88 degrees. 1. **Angle Details**: - Angles 1 to 6 are not labeled with specific measurements, while angle 7 is labeled as 88°. 2. **Lines**: - Two parallel lines are depicted by arrows on lines indicating they do not intersect. - A transversal line crosses the parallel lines, creating alternate interior and corresponding angles. 3. **Angle Positions**: - Angles 1 and 2 are above the top parallel line. - Angles 3 and 4 are between the two parallel lines on the opposite side of the transversal from angles 1 and 2. - Angles 5 and 6 are below the bottom parallel line. - Angle 7 is between the parallel lines opposite angle 6. 4. **Parallel and Transversal Lines**: - The parallel lines are horizontal with markers indicating they do not intersect. - The transversal cuts diagonally across the parallel lines. This diagram is typically used in geometry to illustrate relationships between angles formed by parallel lines and a transversal, such as corresponding angles, alternate interior angles, and alternate exterior angles. These concepts are fundamental in understanding properties of angles and can be useful for solving mathematical problems involving parallel lines.
Transcribed Image Text:The image shows two parallel lines intersected by a transversal line, creating eight angles. The angles are numbered 1 through 7, with angle 7 explicitly marked as 88 degrees. 1. **Angle Details**: - Angles 1 to 6 are not labeled with specific measurements, while angle 7 is labeled as 88°. 2. **Lines**: - Two parallel lines are depicted by arrows on lines indicating they do not intersect. - A transversal line crosses the parallel lines, creating alternate interior and corresponding angles. 3. **Angle Positions**: - Angles 1 and 2 are above the top parallel line. - Angles 3 and 4 are between the two parallel lines on the opposite side of the transversal from angles 1 and 2. - Angles 5 and 6 are below the bottom parallel line. - Angle 7 is between the parallel lines opposite angle 6. 4. **Parallel and Transversal Lines**: - The parallel lines are horizontal with markers indicating they do not intersect. - The transversal cuts diagonally across the parallel lines. This diagram is typically used in geometry to illustrate relationships between angles formed by parallel lines and a transversal, such as corresponding angles, alternate interior angles, and alternate exterior angles. These concepts are fundamental in understanding properties of angles and can be useful for solving mathematical problems involving parallel lines.
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