Question

A regular polygon has an exterior angle 60°, find the size of it's interior angle

Answer 1

Answer:
No. of sides = 6
Measure of each interior angle is 120°
Step-by-step explanation:
To find no. of sides with exterior angle given the formula is 360/n.
Where n is the exterior angle.
= 360/60
= 6
No. of sides = 6
To find sum of all the interior angles of the polygon the formula is (n-2) × 180
Where n is the no. of sides.
= (6-2) × 180
= 4 × 180
= 720°
Now we have to find each interior angle of the polygon.
= 720/6
= 120°

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