SOLUTION: Interior angle of regular polygon is 3 times its exterior.
a)find the size of exterior angle
b)the sum of interior angles
c)what do we Call such polygon
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Question 982337: Interior angle of regular polygon is 3 times its exterior.
a)find the size of exterior angle
b)the sum of interior angles
c)what do we Call such polygon
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The sum of the exterior angles of any polygon is 360 degrees. If each interior angle is 3 times the measure of an exterior angle, then the sum of the interior angles must be 3 times the sum of the exterior angles. I'll let you figure out how much that is.
Once you know the sum of the interior angles, use the formula for the sum of the interior angles
Sum of interior angles 180)
Set this equal to the sum of the interior angles that you figured by multiplying 360 times 3, and then solve the equation for n, which is the number of sides of your polygon.
I have a polygon just like this, and I call mine George. You can look up the name of a polygon that has the number of sides you calculated.
John
My calculator said it, I believe it, that settles it
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