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24. In a quadrilateral LMNO, m<2x -20, and m<M = 2x + 100 , calculate m<N
a. 25
b. 150
c. 40
d. 30​

Sagot :

RKTMOBILEZIN

Given:

m∠N = 2x - 20

m∠M = 2x + 100

calculate m∠N

For any quadrilateral, consecutive angles are supplementary.

so,

∠M + ∠N = 180°

solve for the equation to find x,

∠M + ∠N = 180°

(2x + 100) + (2x - 20) = 180

4x + 80 = 180

4x = 180 - 80

4x = 100

x = 100/4

x = 25

solve for m∠N using the value of x,

m∠N = 2x - 20

m∠N = 2(25) - 20

m∠N = 50 - 20

m∠N = 30°

Hence the the answer is letter d. 30

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