Question

In the given figure, find the angle measure x.

Answer 1

We know that sum of all exterior angle of a polygon = ${360}^{\circ }$ Exterior $\angle A+\angle B+\angle C+\angle D={360}^{\circ }\Rightarrow {115}^{\circ }+x+{90}^{\circ }+{50}^{\circ }={360}^{\circ }\Rightarrow {255}^{\circ }+x+{360}^{\circ }\Rightarrow x={360}^{\circ }-{255}^{\circ }\Rightarrow x={105}^{\circ }$