Question

1 and 2 are supplementary angles . m 1=x-39, and m 2 =x+61. find the measure of each angle.

Answer 1

supplementary means they add up to 180 degrees.
so m1 + m2 = 180.
substitute what 1 and 2 equal for m1 and m2.
(x-39) + (x + 61) = 180.
x + x -39 + 61 = 180.
2x + 22 = 180
2x = 158
x = 79
Now find m1 and m2.
m1 = x -39, or 79-39
m1 = 40.

m2 = x + 61, or 79 + 61
m2 = 140.

40 + 140 equals 180, so they're supplementary.