Given two sets of parallel lines in the diagram below, what is the relationship between Đ6 and Đ15? 10 9 12 4. 11 3. 14 13 16 No relationship exists. Đ6 and Đ15 are congruent right angles because all right angles are congruent and two pairs of intersecting parallel lines are always perpendicular. C Đ6 and Đ11 are supplementary since alternate exterior angles are supplementary. Then, by corresponding angles, Đ11 @ Đ15. Therefore, Đ6 and Đ15 are supplementary because angles that are supplementary to the same or congruent angles are congruent. 26 Z11 since they are alternate exterior angles and alternate exterior angles are congruent. Then, by corresponding angles, /11 (15 Therefore. (6- (15 by the Transitive PronertY

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 23E
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Given two sets of parallel lines in the diagram below, what is the relationship between Đ6 and Đ15?
10
12
11
14.
13X 16
15
No relationship exists.
Đ6 and Đ15 are congruent right angles because all right angles are congruent and two pairs of
intersecting parallel lines are always perpendicular.
Đ6 and Đ11 are supplementary since alternate exterior angles are supplementary. Then, by
corresponding angles, Đ11 @ Đ15. Therefore, Đ6 and Đ15 are supplementary because angles that
are supplementary to the same or congruent angles are congruent.
26 E Z11 since they are alternate exterior angles and alternate exterior angles are congruent.
Then, by corresponding angles, /11s (15 Therefore, (6= (15 bY the Transitive Pronerty
Transcribed Image Text:Quéstión Given two sets of parallel lines in the diagram below, what is the relationship between Đ6 and Đ15? 10 12 11 14. 13X 16 15 No relationship exists. Đ6 and Đ15 are congruent right angles because all right angles are congruent and two pairs of intersecting parallel lines are always perpendicular. Đ6 and Đ11 are supplementary since alternate exterior angles are supplementary. Then, by corresponding angles, Đ11 @ Đ15. Therefore, Đ6 and Đ15 are supplementary because angles that are supplementary to the same or congruent angles are congruent. 26 E Z11 since they are alternate exterior angles and alternate exterior angles are congruent. Then, by corresponding angles, /11s (15 Therefore, (6= (15 bY the Transitive Pronerty
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