Question

each exterior angle of a regular polygon measure 20 degree how many sides does it have​

Answer 1

Answer:

Question:-

Each exterior angle of a regular polygon measures 20 degrees. How many sides are there in the polygon?

Solution:-

When we say the a polygon is regular, it means that it os equilateral and equiangular. We also know that the sum of exterior angles of a regular polygon is 360°.

The formula made for one exterior angle = 360/n

[where ‘n’ is the number of sides of polygon]

360/n = 20

360 = 20n

360/20 = n

18 = n

The polygon has 18 sides

Hope it helps

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Answer 2

Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides.