Find the sum of the measures of the interior angles of regular octagon. what is the measure of each interior angle
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Find the sum of the measures of the interior angles of regular octagon. what is the measure of each interior angle
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Find the sum of the measures of the interior angles of an octagon.
Solution:
An octagon has 8 sides. So, n=8 .
Substitute 8 for n in the formula.
The sum of the measures of the interior angles of an octagon =(8−2)180° .
=6×180°=1080°
The sum of the measures of the interior angles of an octagon is 1080°
The sum of exterior angles of a regular octagon
=360°
∴
Each exterior angle of a regular octagon
=360°8=45°
Each interior angle of a regular octagon
=180°−45°=135°