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20 votes
20 votes
Parallelogram L M N O is shown. Angle N is (5 x) degrees and angle L is (3 x + 40) degrees. In parallelogram LMNO, what is the measure of angle M? 20° 60° 80° 100°

User Gorden Gram
by
2.9k points

2 Answers

17 votes
17 votes

Answer:

80

Explanation:

did the test

User PatrickDotStar
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2.9k points
14 votes
14 votes

Answer:

80degrees

Explanation:

Find the diagram attached

From the diagram, the opposite angle of the parallelogram are equal hence;

5x= 3x+40

5x - 3x = 40

2x = 40

x = 40/2

x = 20degrees

Also <M + <N = 180

<M + 5x = 180

<M + 5(20) = 180

<M + 100 = 180

<M = 180-100

<M = 80degrees

Hence the measure of angle M is 80degrees

Parallelogram L M N O is shown. Angle N is (5 x) degrees and angle L is (3 x + 40) degrees-example-1
User Chashikajw
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2.5k points