Question

If a regular polygon has 16 sides, then what is the measure (in degrees) of its each interior angle?
1. 155
2. \(159 \frac{1}{2}\)
3. \(157 \frac{1}{2}\)
4. 154

Answer 1

Correct Answer - Option 3 : \(157 \frac{1}{2}\)

Given:

If a regular polygon has 16 sides.

Concept used:

Polygon.

Calculation:

A polygon has 16 sides.

Each exterior angle = 360/n

Where n is the number of sides.

Exterior angle = 360/16

Exterior angle = 90/4

Sum of interior angle + Exterior angle = 180° 

interior angle = 180 - 90/4

interior angle = \(\frac{{720\ - \ 90}}{4}\)

interior angle = \(157\frac{1}{2}\)