Question

Find the number of sides of a regular polygon of each interior angle is 144°.


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Answer 1

Answer:

10 sides

Step-by-step explanation:

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Answer 2

Answer:

Formula of interior angle of Polygon = $\frac{(n-2)180}{n}$

'n' is the number if sides

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

$180n - 360 = 144n\\180n - 144n = 360\\36n = 360\\n = \frac{360}{36} \\n = 10$

The number of sides of polygon = 10

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