Question

In the figure, find the value of x.

Answer 1

We observe that, the given figure is a pentagon.

Now, we know that, sum of all the exterior angles of a pentagon is 360°.

∴ 92° + 20° + 85° + x + 89° = 360°

⇒ 286° + x = 360°

⇒ x = 360° – 286° 

⇒ x = 74°