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If a polygon have an interior angle as $1350$ then, which of the following is the sides of the polygon?

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answer is A.

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Detailed Solution

Given,
Measure of interior angle =

1350

.
We know that,
Number of sides of a given polygon is

θ = 1800 − 3600 n

, where,

θ

is the measure of the interior angle and n is the number of sides of a regular polygon.
Substituting the value of the interior angle,
Number of sides of a given polygon,

1350 = 1800 − 3600 n

Simplifying,

3600 n = 1800 − 1350 3600 n = 450 n = 3600450 n = 8

Hence, the number of sides of the given polygon is n = 8.
Therefore, option 1 is correct.

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