Two regular polygons are such that the ratio between their number of sides is 1:3 and the ratio of measure of their interior angles is 3:4 .Find the number of sides of each polygon.
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★ Answer:-
The interior angle of the polygon is given by,
((x-2)/x) × 180
Let us take the sides as a and 2a.
substituting in the above formula, we get ((a-2)/a) × 180 / ((2a-2)/2a) *180 = 3/4
(a-2)/a × 2/(a-1)=3/4
(a-2)/(a-1) = 3/4
4a-8=3a-3
a=5
Therefore the sides are 5 and 10.
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Step-by-step explanation:
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