Question

The sum of the measures of angle P and angle Q in 180°. The measure of angle P is (4x + 12)°. The measure of angle Q is (2x - 24)°. What is the value of x?

Answer 1

32

Explanation:

Given

m<P = 4x+12

m<Q = 2x-24

If the sum of P and Q is 180, then;

4x+ 12 + 2x - 24 = 180

4x+2x+12-24 = 180

6x - 12 = 180

6x = 180+12

6x = 192

x = 192/6

x = 32

Hence the value of x is 32