140 231 70 77 K 79 TO C.

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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140
231
70
77
K
79
TO
C.
Transcribed Image Text:140 231 70 77 K 79 TO C.
Expert Solution
Step 1

Since line LK is parallel to line SR, and line QS and QR are intersecting lines , so,measure of angle QLK=measure of angle QSR and measure of angle QKL=measure of angle QRS, therefore,the triangles LQK and and SQR are similar, 

Then, their corresponding sides are proportional.

Geometry homework question answer, step 1, image 1

 

Step 2

By substituting the values, we get

Geometry homework question answer, step 2, image 1

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