Question

the interior angle of a regular polygon in 4 times it's exterior angle. how many sides does the polygon have​

Answer 1

Answer:

4 times the exterior angle plus the exterior angle = 180 degrees. ... you get interior angle = 4 * exterior angle = 4 * 36 = 144 degrees. 144 + 36 = 180 degrees so they are supplementary as required. the exterior angle of the regular polygon is equal to 360 / number of sides.

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Answer 2

Answer:

10 sided regular polygon

Step-by-step explanation:

(2n-4)90/n=4*360/n

= (2n-4)90=4*360

=2n-4= 4*360/90

=2n-4= 16

=2n=20

=n=10