Question

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​

Answer 1

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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