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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 ?

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 ? Correct Answer 24

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 =180x+150+x=180x=15

now , number of sides of polygon = 360 / exterior anglen = 360 / 15n = 24

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