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​How many sides will a polygon have if the sum of the measures of its interior angles is 900°?​
Question

How many sides will a polygon have if the sum of the measures of its interior angles is 900°?

A.

7

B.

8

C.

6

D.

54

Correct option is A

Given:

Sum of interior angles = 900o900^o​​

Formula Used:

Sum of interior angles of polygon with side n =(n2)×180o (n-2) \times 180^o​​

Solution:

For the sum of 900o900^o​​

(n2)×180o=900o(n-2) \times 180^o = 900^o​​

(n2)=900180=5(n-2) = \frac{900}{180} =5​​

n = 5+2 = 7

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