Question

Find the sum of exterior angles of a hexagon.

• A. 180
• B. 540°
• C. 360°
• D. 460°

Answer 1

The correct option is C

360°

Value of interior angle in hexagon = ((n-2)/n) $\times$180${}^{\circ }$ = (4/6) $\times$ 180${}^{\circ }$

= 120${}^{\circ }$

Since, on a line angle formed by 180${}^{\circ }$ = (180${}^{\circ }$ - 120${}^{\circ }$) = 60${}^{\circ }$

Hence, it is regular hexagon so for every side the value of exterior side is 60${}^{\circ }$

We have 6 sides in hexagon , so sum of all the exterior side of regular hexagon = 6 $\times$ 60${}^{\circ }$ = 360${}^{\circ }$