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Dmitry_Shevchenko [17]
2 years ago
5

Find the number of sides of a regular polygon in which the measure of an interior angle is three times the measure of an exterio

r angle.
Mathematics
1 answer:
Serhud [2]2 years ago
6 0
The sum of the interior angles of any polygon is given by (n-2)180°, where n is the number of sides.

Also sum of all the exterior angles of any polygon is 360°

Given (n-2)180° = 3(360°)

=> n-2 = 6

=> n = 8.

Hence the number of sides of a polygon is 8
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