How many sides does a regular polygon have, if each of its interior angle is 165° (Chapter-Quadrilaterals)
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1
Answer:
24 sides
Step-by-step explanation:
Answered by
1
Answer:
Total sum of all the exterior angles of a regular polygon = 360°
Let number of sides be = n.
Measure of each interior angle = 165°
Measure of each exterior angle = 180° - 165° = 15° [Since, an interior and an exterior angle forms a linear pair]
Number of sides = Sum of exterior angles / Each exterior angle
= 360° / 15
= 24
Step-by-step explanation:
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