Question

Find the sum of the measures of the interior angles and the sum of the measures ofthe exterior angles of the polygon.Sum of the measures of the interior angles:Sum of the measures of the exterior angles:

Answer 1

Given:

Find-:

a) Sum of the measure of the interior angle

b) Sum of the measure of the exterior angle.

Sol:

Given figure is a hexagon and each Interior angle of the hexagon is 120

So the Sum of interior angles is:

`\begin{gathered} =120+120+120+120+120+120 \\ \\ =720 \end{gathered}`

An exterior angle of the hexagon is:

`\begin{gathered} =180-120 \\ \\ =60 \end{gathered}`

Sum of an exterior angle is:

`\begin{gathered} =60+60+60+60+60+60 \\ \\ =360 \end{gathered}`