Friday 24 March 2017

POLYGONS 1


An interior angle of a regular polygon is 740 greater than an exterior angle. Find the interior 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

But i  + e=1800…………………(1)

i  + 530=1800.

i  =1800 - 530

i = 1270

Hence i = 127


TRY THIS………………………   


An interior angle of a regular polygon is 780 greater than an exterior angle. Find the interior angle.

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