If an internal angle of a regular polygon is 132 degree more than its external angle, then number of sides of the polygon are ?
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The answer is 15
Let exterior angle be x
Then, Interior angle = x+132
Now, Interior angle + Exterior angle = 180
or, x+x+132 = 180
or, 2x = 48
or, x = 24
So, number of angles = 360/exterior angle
= 360/24
= 15
Let exterior angle be x
Then, Interior angle = x+132
Now, Interior angle + Exterior angle = 180
or, x+x+132 = 180
or, 2x = 48
or, x = 24
So, number of angles = 360/exterior angle
= 360/24
= 15
karanbarmase1:
Thank you
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