Question

Work out the size of an exterior and an interior angle of a regular 16-sided
polygon.​

Answer 1

exterior angle: 22.5°, interior angle: 157.5°

Explanation:

the formula for the measure of each Interior Angle in a regular polygon:
`(180(n-2))/(n)`, n = # of sides

=>
`(180(16 - 2))/(16)` = 157.5°

the formula for the measure of each Exterior Angle in a regular polygon:
`(360)/(n)`

=>
`(360)/(16)` = 22.5°