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A polygon has n sides. Two of its angles are right angles and each of the remaining angles is $144 ∘$ . Find the value of n?

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answer is A.

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Detailed Solution

Given that the two of its angles are right angles and each of the remaining angles is

144 ∘

.
According to the question, the sum of angles of polygon is

2 (90 ∘) + (n − 2) 144 ∘

. Then,

2 (90 ∘) + (n − 2) 144 ∘ = (n − 2) 180 ∘ 180 ∘ + 144 ∘ n − 288 ∘ = 180 ∘ n − 360 ∘ 180 ∘ − 288 ∘ + 360 ∘ = 180 ∘ n − 144 ∘ n 252 ∘ = 36 ∘ n n = 252 ∘ 36 ∘ n = 7

Hence, the correct option is 1.

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