What is the interior and exterior angle of 16-gon?

Answer 1

Providing that it is a regular 16-gon:-

First draw lines from each corner of the 16-gon to the centre. This forms 16 equal angles at the centre - something like a circular cake which has been divided into 16 equal portions. You find the angle value by dividing the full circle of 360 degrees by 16 = 22.5 degrees

Besides 22.5 degrees being "the angle at the centre" of the figure (usually called a "polygon") this value is also the value of the "exterior" angle

You find the "interior" angle by subtracting the "angle at the centre" from 180 degrees, because 180 degrees (which is the total of the three angles in each of the 16 triangles). This is 180 degrees minus 22.5 degrees = 157.5 degrees.

Each interior angle: 157.5 degrees

Answer 2

Exterior Angle = 360 / n( No. of sides).

Hence

EXT ANG. = 360/ 16 = 22.5 degrees.

Hence

INT ANG = 180 - 22.5 = 157.5 degrees.