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Please help! Figure LMNO is a parallelogram. What is the value of

Please help! Figure LMNO is a parallelogram. What is the value of-example-1
User Shahzada
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2 Answers

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what is the value of....what?
User Robert Haas
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Answer:

see explanation

Explanation:

Consecutive angles of a parallelogram are supplementary, thus

∠ M + ∠ N = 180 , substitute values

3x + 8x - 40 = 180, that is

11x - 40 = 180 ( add 40 to both sides )

11x = 220 ( divide both sides by 11 )

x = 20

Thus

∠ M = 3x = 3(20) = 60°

∠ N = 8x - 40 = 8(20) - 40 = 160 - 40 = 120°

User Rami Jarrar
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