Question

Find the measure of interior angle of a regular hexadecagon.

degrees

Answer 1

A hexadecagon has 16 sides.

Sum of interior angles $=(n-2)\times {180}^o$
where $n$ is the total number of sides.

Subsituting $n=16,$
sum of interior angles $=(16-2)\times {180}^o$
$=14\times {180}^o$

Also, a regular polygon has all the angles as equal in measure.
$\therefore$ Measure of each interior angle
$=\frac{14\times {180}^o}{16}={157.5}^o$