how many sides does a regular polygon have if each imterior angles is 144°
Answers
Answered by
1
Step-by-step explanation:
10 sides
It's a polygon with 10 sides.
Answered by
1
Exterior Angle = 180 - Interior Angle = 180 - 144 = 36
Total sums of the exterior angles of a polygon = 360
Therefore, number of sides N = 360/36 = 10
It's a Decagon.
Aliter:
A polygon with N sides will have the sum of the interior angles = (2N - 4) right angles.
Therefore, 144 • N = (2N - 4) • 90
144N - 180N = - 360
36N = 360
N = 10
It's a polygon with 10 sides.
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