Find the measures of two supplementary angles, <M and <N, If M=6x+3 and m<N=2x-7

Question

asked May 11, 2021 80.8k views

1 Answer

Tim Jarvis · Answer 1 · 2021-05-16T23:06:34+0000

9514 1404 393

Answer:

M = 141°, N = 39°

Explanation:

Supplementary angles have a total measure of 180°, so ...

M + N = 180

(6x +3) +(2x -7) = 180

8x = 184 . . . . . add 4, simplify

x = 23 . . . . . . . divide by 8

∠M = 6·23 +3 = 141°

∠N = 2·23 -7 = 39°