SOLUTION: Please help me with this problem that I can't figure out. Thank you so much.
A regular polygon has exterior angles that are congruent to its interior angles. How many sides does
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Question 921599: Please help me with this problem that I can't figure out. Thank you so much.
A regular polygon has exterior angles that are congruent to its interior angles. How many sides does the polygon have?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
A "Regular Polygon" has:
all sides equal and
all angles equal.
The Exterior Angle is the angle between any side of a shape,
and a line extended from the next side.
The Interior Angle and Exterior Angle are measured from the same line, so they add up to °.
the sum of
where is the number of sides
where is the number of sides
given: polygon has exterior angles that are congruent to its interior angles
then ...........solve for
......the number of sides
The answer has to be "" because a polygon all and all .
A rectangle(even polygon with sides) does not agree with definition of a "Regular Polygon" because it does not have four equal sides.
Only a square agrees with the original definition.
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