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Find mZ N. K L. (8x + 17) (12x-39) M

Find mZ N. K L. (8x + 17) (12x-39) M

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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cord: 0/1 Score: o Penalty: None Makhia Wilson Question#1 Feb 12, 1:16:26 AM Find m N. K (8x+17) (12x-39) M Answer! degrees Submit Answer attempt i out o P Type here to search
Transcribed Image Text:cord: 0/1 Score: o Penalty: None Makhia Wilson Question#1 Feb 12, 1:16:26 AM Find m N. K (8x+17) (12x-39) M Answer! degrees Submit Answer attempt i out o P Type here to search
Expert Solution
Step 1

The given figure KLMN is a parallelogram.

It is known that the opposite angles in a parallelogram are equal.

So, m∠K=m∠M and m∠N=m∠L.

Evaluate the value of x as follows.

m∠K=m∠M8x+17°=12x-39°4x=56°x=14°

Thus, x=14°.

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