Question

mr.murphy has an old coin that has 10 sides if its shape is a polygon how many angles doges the old coin have

Answer 1

Answer:

10 Angles

1 Angle = 144°

Sum of all angles = 1440°

Step-by-step explanation:

mr.murphy has an old coin that has 10 sides if its shape is a polygon how many angles doges the old coin have

assumption that all sides are equal and all angles are equal

Exterior angle of a poylgon = 360° / Number of sides

Exterior angle of coin = 360°/10

=> Exterior angle of coin = 36°

Exterior Angle + Interior Angle = 180°

Interior Angle = 180° - Exterior Angle

Interior Angle of Coin = 180° - 36°

=> Interior Angle of Coin = 144°

Sum of all interior Angles = 144 * 10 = 1440°

Another way to calculate

Sum of interior Angles of polygon = (n-2) * 180°

where n =  number of sides

Sum of interior angles of coins = (10-2) * 180° = 1440°

on Angle = 1440/10 = 144°