Question

If each interior angle of a polygon is 144°, the number of sides in it is ______.

Options

• 5

• 10

• 6

• 7

Answer 1

If each interior angle of a polygon is 144°, the number of sides in it is 10.

Explanation:

Since each interior angle is 144°, the corresponding exterior angle is 180° − 144° = 36°. The number of sides in a regular polygon is given by `\frac{360^\circ}{\text{exterior angle}} = \frac{360^\circ}{36^\circ} = 10`.