Question

Need help with number 8 and 9

Answer 1

45° 12 sides

Explanation:

1) Every polygons interior angles is equal to 180 times two less than the amount of sides it has (i.e 180•(4-2)=360:quadrilateral) So applying that here we have eight sides so 180(8-2)=1080. Now divide that by 8 to get the measure of one angle and subtract it from 180 to get the exterior angle 45°

2) if the exterior angle is 30° then the interior angle is 150°. For this part i guess and checked but you can refer to the equation above. (180(x-2)=y/150)

Answer 2

45° and 12

Explanation:

The sum of the exterior angles of a polygon = 360°

(8)

The polygon has n = 8, that is 8 exterior angles, thus

exterior angle = 360° ÷ 8 = 45°

(9)

The number of sides n is

n = 360 ÷ 30 = 12