One outer angle of a regular polygon is 20. what is the number of sides of the polygon ? what is one inner angle of the polygon? what is the sum of the inner angles? step by step answers
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Step-by-step explanation:
Given,
Exterior angle of a regular polygon = 20°
Therefore, no. of sides = 360°/ exterior angle
= 360°/ 20° = 18 sides.
Interior angle = 180° - exterior angle = 180° - 20° = 160°
Sum of interior angles for a n- sided polygon
= (n - 2) 180°
= (18 - 2) 180°
= 16 × 180°
= 2880°
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