Latest Elitmus Aptitude Question SOLUTION: Find the regular polygon whose interior angel is 150 more than exterior angle. note the total sum of interior and exterior angle should be 180 at one point. option a.8 b.12 c.16 d.

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(#M40158362) ELITMUS Numerical Ability question Geometry Keep an EYE

Find the regular polygon whose interior angel is 150 more than exterior angle. note the total sum of interior and exterior angle should be 180 at one point.
option a.8 b.12 c.16 d.32 e.36

Asked In Elitmus Amity Singh (7 years ago)

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Anuj Gupta  (7 years ago)

Sum of Interior angle is 180 .
and it is given that interior angle is 150 more than exterior,
so let exterior angle is x then interior will be x+150

now , interior + exterior =180
x+150+x=180
x=15

now , number of sides of polygon = 360 / exterior angle
n = 360 / 15
n = 24 ans.

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S.Patra  (7 years ago)

sum of interior angle+ exterior angle=180
exterior angle + exterior angle+150=180
2*exterior angle=30
exterior angle=15
now,
Sum of exterior angles=360
so,n*15=360
n=360/15=24

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SWATI TANMAYA RATH  (7 years ago)

exterior angle of any regular polygon=360/n(n=no of sides of regular polygon)
sum of interior angles of any regular polygon=180(n-2)
acc. to que,
(360/n)+150=[180(n-2)]/n
solving we get n=24

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