SOLUTION: 1)can a regular polygon have interior angles of measure equal 25 degree. if so find the number of sides if not explain why? no 2)ABCDE is a regular pentagon. line AE intersects l

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Question 90990: 1)can a regular polygon have interior angles of measure equal 25 degree. if so find the number of sides if not explain why?
no
2)ABCDE is a regular pentagon. line AE intersects line BC at point F. find the measure of angle AFB

Found 2 solutions by stanbon, 20018836:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1)can a regular polygon have interior angles of measure equal 25 degree. if so find the number of sides if not explain why?
Corresponding to each interior angle of 25 degrees there is an exterior angle
of 180-25 = 155 degrees.
The number of sides = 360/155 = 2.32
But you cannot have 2.32 sides.
So you cannot have a regular polygon all of whose interior angle are 25 degrees.
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2)ABCDE is a regular pentagon. line AE intersects line BC at point F. find the measure of angle AFB
Would have to see this figure.
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Cheers,
Stan H.

Answer by 20018836(1) About Me  (Show Source):