7. The interior angle of a regular polygon is three times the exterior
angle. calculate (a) the exterior angle (b) number of sides of a
polygon
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7. The interior angle of a regular polygon is three times the exterior
angle. calculate (a) the exterior angle (b) number of sides of a
polygon
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Answer:
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
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.
LAZED,
My calculator said it, I believe it, that settles it
Step-by-step explanation:
i told it there :>