If 2 regular polygon no. of sides is 1:2 and ratio of measures of interior angle is 4:5, then no. of sides of polygon are
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let one regular polygon side be x then the polygon side is 2x .
formula for sum of interior angles =(n-2)×180
ratio=(x-2)×180/(2x-2)×180
4/5=(x-2)/(2x-2)
4*(2x-2)=5*(x-2)
8x-8=5x-10
3x=-2
x=-2/3
the sides of a polygon should be positive. but the no. of sides is -2/3.
I think there is some error in the problem .
formula for sum of interior angles =(n-2)×180
ratio=(x-2)×180/(2x-2)×180
4/5=(x-2)/(2x-2)
4*(2x-2)=5*(x-2)
8x-8=5x-10
3x=-2
x=-2/3
the sides of a polygon should be positive. but the no. of sides is -2/3.
I think there is some error in the problem .
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