Twi adjacent angles, <1 and <2 form a resulting angle with measure 135 degrees. If m<1 = (2x) degrees, and m<2 = (2x+7), what are the two unknown angle measures?

Answer 1

Since the sum of adjacent angles is equal to the resulting angle, we have:

m<1 + m<2 = 135
(2x) + (2x+7) = 135
4x + 7 = 135
4x = 128
x = 32

m<1 = 2x = 2(32) = 64 degrees
m<2 = 2x+7 = 2(32)+7 = 71 degrees

Therefore, the two unknown angle measures are 64 degrees and 71 degrees.