Question

From the following figure, find the sum of $\angle w+\angle x+\angle y+\angle z$.

• A. ${360}^{\circ }$
• B. ${540}^{\circ }$
• C. ${180}^{\circ }$
• D. ${720}^{\circ }$

Answer 1

The correct option is A ${360}^{\circ }$



In the given figure, $\angle w,\angle x,\angle y,\angle z$ all are exterior angles.
We know that, the sum of measures of exterior angles of a polygon is ${360}^{\circ }.$
Thus, the sum of $\angle w+\angle x+\angle y+\angle z={360}^{\circ }$.