Question
The ratio of the measure of an interior angle of a regular octagon to the measure of each of its exterior angles is
Answer: Option D
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ext. angle = 360/n, where n is the no. of side in polygon. (ext. = 360/8 = 135 , here n=8 in the case of regular octagon)
int. angle = 180 - ext. angle i.e., 180 - (360/n). (int. = 180 - 135 = 45)
so ratio of int. angle/ext. angle = 135/45 = 3/1