Question

A polygon has each of its interior angle is (3/5)th times of two right angles, then the number of sides:2853

Answer 1

Answer:

Step-by-step explanation:

Let each angle be x

Therefore,

x=3/5*2*90

= 3*2*18

= 108

Therefore sum of all angles of the n sided regular polygon is 108n

We know that sum of all angles of an n sided polygon is 180(n-2)

Therefore,

180(n-2)=108n

∴10(n-2)=6n [Dividing both sides by 18]

∴ 5(n-2)=3n [Dividing both sides by 2]

∴ 5n-10 =3n

∴ 5n-3n=10

∴ 2n = 10

∴ n= 10/2

∴ n= 5

Therefore, it is a five sided regular polygon

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