Given m(<1) = 3x - 2 and m(<2) = 5x - 11. If <1 and <2 are supplementary angles, find the measure of <2. Round to the nearest whole angle.

Answer 1

3x-2 + 5x-11 = 180

8x - 13 = 180

8x = 193

x = 193/8 = 24 and 1/8 = 24.125

angle 1 = 3(24.125) - 2 = 72.375 - 2 = 70.375 = 70 and 3/8

angle 2 = 5(24.125) - 11 = 120.625 - 11 = 109.625 = 109 and 5/8