Question

Calculate the value of x. ​

Answer 1

In bold below.

Explanation:

m<POQ = 1/2 * 136 = 68 degrees ( as MP = 2MQ, so MQ = QP)

So m < NOP = 180 - 68 = 112degrees

Triangle NOP is isosceles, so:

m < x = (180 - 112) / 2 = 34 degrees.