math

The size of an interior angle of a regular polygon is 3x° while its exterior angle is (x- 20)°. Find the number of sides of the polygon

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  1. first let's find value of x where
    3x°+(x-20)°=180°

    3x +x -20 =180

    4x=180+20

    4x=200

    4x/4=200/4
    x=50°
    then number of sides = 360/(exterior angle)
    of a regular polygony

    therefore sizes=360/30

    sides= 12

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