a regular polygon has a sum of all its interior angles as 1260°. Find the size of each exterior angle of the polygon.
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Answer:
n = number of sides of regular polygon.
We know
Sum of all interior angles = (n - 2) × 180
1260 = (n - 2) × 180
7 = n - 2
n = 9
So, exterior angle = 360/n = 360/9 = 40°
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