Each exterior angle of a regular polygon measures 10°. Find the number of sides, the
measure of each interior angle, and the sum of the measures of the interior angles.
measure of each interior angle, and the sum of the measures of the interior angles.
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Number of sides = 36
Interior Angle = 170°
Sum of Interiot Angle = 6120°
INTERIOR ANGLES
=(n-2)x180°÷n
=28 x 180° ÷ 30
=5,040 ÷ 30
=168°
Therefore the measure of each interior angle is 168°
INTERIOR ANGLES
=360° ÷ N
=12°
Therefore the measure of each exterior angle is 12°
SUM OF ALL INTERIOR ANGLES
=(N-2) x 180°
=28 x 180°
=5,040°
Therefore the measure the measure of all interior angles is 5,040°