Question

Question 169
In the figure, find the value of x.

Answer 1

We know that, sum of all the exterior angles of a polygon is ${360}^{\circ }$.

$\therefore {92}^{\circ }+{20}^{\circ }+{85}^{\circ }+x^{\circ }+{89}^{\circ }={360}^{\circ }\Rightarrow {286}^{\circ }+x^{\circ }={360}^{\circ }\Rightarrow x^{\circ }={360}^{\circ }-{286}^{\circ }={74}^{\circ }$