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andreyandreev [35.5K]
1 year ago
15

What is the number of sides in a regular polygon when the measure of each interior angle is 162?

Mathematics
1 answer:
Ira Lisetskai [31]1 year ago
8 0

Answer:

20

Step-by-step explanation:

interior angle + exterior angle = 180°

162° + exterior angle = 180° ( subtract 162° from both sides )

exterior angle = 18°

the sum of the exterior angles of a polygon = 360° , then

number of sides = 360° ÷ 18° = 20

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