An interior angle of a regular
polygon is 740 greater than an exterior angle. Find the exterior
angle.
Solution
Let i = interior angle, e = exterior
angle.
Now i + e=1800…………………(1)
But i = e+740 …………………(2)
Substitute (2) in (1) above.
e+740 + e=1800
e+ e+740 =1800
2e+ 740 =1800
2e=1800 - 740
2e=1060
2e=1060
dividing by 2 both
sides.
2 2
e = 530
TRY
THIS………………………
An interior angle of a regular
polygon is 780 greater than an exterior angle. Find the exterior
angle.
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