Find the number of sides of a polygon if the measure of each interior angle is 144 $^{\circ}$ .

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Solution

The correct option is D
10

Measure of interior angle of an `n' sided regular polygon = $\frac{(n - 2) 180^{0}}{n}$

$\frac{(n - 2) 180^{0}}{n} = 144^{0}$

$\Rightarrow$ n = 10

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Find the number of sides of a polygon if the measure of each interior angle is 144∘.

The correct option is D 10 Measure of interior angle of an `n' sided regular polygon = (n−2)1800n (n−2)1800n=1440 ⇒ n = 10

Find the number of sides of a polygon if the measure of each interior angle is 144 $^{\circ}$ .

The correct option is D
10

Measure of interior angle of an `n' sided regular polygon = $\frac{(n - 2) 180^{0}}{n}$

$\frac{(n - 2) 180^{0}}{n} = 144^{0}$

$\Rightarrow$ n = 10