Angle m and angle n are supplementary angles. If the measure of angle M = 5x+18 and the measure of angle N = 3x+2, find the value of x, and the measure of angle M

Step-by-step explanation:

∠ M + ∠N = 180 {supplementary}

5x+18 + 3x + 2 = 180 {Now add the like terms}

8x + 20 = 180

8x = 180 - 20

8x = 160

x = 160/8

x = 20

∠M = 5x + 18 = 5*20 + 18 = 100 + 18 = 118

∠N = 3x + 2 = 3*20 + 2 = 60 + 2 = 62