Question

Find the number of sides of a regular polygon whose each interior angle has a measure of 24 degrees

Answer 1

hy

friend......

⇒The interior angles of a regular polygon are each 156°.

⇒ Calculate the number of sides.

⇒The interior angles are 156°,

so

⇒the exterior angles are 180° - 156° = 24°.

⇒ All the exterior angles add up to 360°,

so

⇒ if we divide 360° by 24°

⇒we find there are 15 exterior angles.

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