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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:

Find the sum of the measures of the interior angles and the sum of the measures ofthe-example-1
User Farid Rn
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1 Answer

20 votes
20 votes

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}

Find the sum of the measures of the interior angles and the sum of the measures ofthe-example-1
User Spar
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