Question

Find the value of x for which M//N. PLEASE EXPLAIN HOW TO SOLVE ALSO

A.
38
B.
62
C.
102
D.
150

Answer 1

The answer is A, 38.

The two angles are complementary so 3x-36+2x+26=180

Just simplify from there.

Answer 2

If m//n the external conjugated angles must be complementary:
(3x-36)°+(2x+26)°=180°
(3x-36+2x+26)°=180°
3x-36+2x+26=180
5x-10=180
5x-10+10=180+10
5x=190
5x/5=190/5
x=38

Answer: Option A. 38