Question

6 (1) In a regular polygon, each interior angle is 8 times as big as each exterior angle. How many sides

does the polygon have?

Answer 1

Hi,

Explanation:

Let's assume x the mes of the interior angle

mes angle exterior= 180-x

each interior angle is 8 times as big as each exterior angle: x=8*(180-x)

x=8*180-8*x

9x=8*180

x=160

Interior angle +central angle=180°

Let's assume n the number of sides

160+360/n=180

360/n=20

n=360/20

n=18

Number of sides: 18