Question

The figures are not drawn to scale. PQ and MN are straight lines. Find

Answer 1

<x = 30

Explanation:

We can first calculate what <MOP is by doing 180 - 120 = 60, since line MN is 180 degrees and <PON is 120 degrees. Now we know that <MOP is 60 degrees, we can now plug in an equation to find what <x is. We know that line MN is 180 degrees, <MOR is 90 degrees, and <MOP is 60 degrees, we can do:

<x + 60 + 90 = 180

<x = 180 - 60 - 90

<x = 30