Question

Three exterior angles of a hexagon are ${40}^{\circ },{51}^{\circ }$ and ${86}^{\circ }$. If each of the remaining exterior angles is $x^{\circ }$, then x=___

• A. 61

Answer 1

The correct option is A 61

A hexagon has 6 exterior angles and sum of exterior angles $={360}^{\circ }$

$\Rightarrow 40+51+86+3x^{\circ }=360$

$\Rightarrow 177+3x^{\circ }={360}^{\circ }$

$\Rightarrow 3x^{\circ }={183}^{\circ }$

$\Rightarrow x^{\circ }={61}^{\circ }$