Sunday, 17 December 2017

POLYGONS 1


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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