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garik1379 [7]
3 years ago
14

What is the measure of an interior angle of a regular 360-gon

Mathematics
2 answers:
marissa [1.9K]3 years ago
6 0

Answer:

The sum of any 360-gon's interior angles is 64440 degrees.

Step-by-step explanation:

charle [14.2K]3 years ago
4 0

Answer:

64,440 is the sum of all the interior angles, 179 is the measure of one interior angle

Step-by-step explanation:

We will use the equation x = (n-2) 180 x is the sum of all the interior angles and n is the number of sides this figure has, so we solve

x = (360-2) 180

x= (358) 180

x= 64,440

So the sum of all the interior angles is 64,440

to find each interior angle we must divide the sum of all the interior angles by the number of sides the figure has, so we would divide 64,440 by 360

64,440/360 = 179

Therefore, the measure of each interior angle is 179

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