Answer:
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)
45° and 12
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
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