find the number of sides of a regular polygon whose each exterior angle is 45° what will be the measure of interior angle and what will be it's name
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Answer:
No of sides of a regular polygon = 8
interior angle = 135°
the polygon is an octagon
Step-by-step explanation:
measure of each side of a polygon = 45°
sum of all sides of a polygon = 360°
no. of sides in the polygon = 360° / 45 ° = 8 sides.
interior angle + Exterior angle= 180°
int. angle + 45° = 180°
int. angle = 135°
the polygon has 8 sides thus it is an octagon
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