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The measure of angle N is (3x + 18) degrees . The measure of angle B is (2x + 142) degrees. If angle N is the supplement of angle B, what is the measure of the two angles?

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Answer:

N: 30 B:150

Step-by-step explanation:

Supplementary angles add up to 180 meaning their equations must also add up to 180:

(3x + 18) + (2x + 142) = 180

Solve for x:

5x + 160 = 180

5x = 20

x = 4

Substitute 4 in all values of x to obtain the measure of the two angles:

N: 3(4) + 18 = 30

B: 2(4) + 142 = 150

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