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Find the number of sides in a polygon if the sum of its interior angle is 900 degree​

User Mariane
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1 Answer

6 votes

Answer:

The answer is

7 sides

Explanation:

The sum of interior angles(s) of a polygon can be found by using the formula

s = (n - 2) × 180

Where n is the number of sides of the polygon

From the question

s = 900°

Substitute this value into the above formula and solve for n

That's


900 = (n - 2) * 180 \\ 900 = 180n - 360 \\ 180n = 900 + 360 \\ 180n = 1260

Divide both sides by 180


(180n)/(180) = (1260 )/(180) \\

We have the final answer as

n = 7

Therefore the polygon has 7 sides

Hope this helps you

User Zeenath S N
by
3.9k points