Math, asked by aatharvamahant28, 5 months ago

two regular polygon are such that the ratio between their number of sides is 1 ratio 2 and the ratio of measures of their interior angle is 3 ratio 4 find the number of sides of each polygon​

Answers

Answered by nikhithgandhivalaval
4

Answer:

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Step-by-step explanation:

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Answered by Anonymous
3

Answer:

Given :

Two polygon in which the ratio between their number of sides is 1:2

Ratio of interior angles is 3:4

To find :

Side of each polygon

Solution:

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.

Step-by-step explanation:

Hope it helps you...

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