Question 1131517: A regular polygon has interior angles that are 5 times larger than the sum of its exterior angles. Calculate how many sides it has.
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
There are problems with the statement of the problem. Instead of trying to guess what the real problem is, I will just respond to the problem as stated.
"A regular polygon has interior angles that are..."
Those words indicate that we are talking about EACH interior angle -- not the sum of the interior angles.
"...5 times larger than the sum of the exterior angles."
The sum of the exterior angles of any polygon is 360 degrees.
"5 times larger than" means 6 times as large as (the number plus 5 times the number = 6 times the number); but it is probable that the intended meaning is 5 times as large as. So to try to solve the problem I would have to guess which the intended meaning is.
But either interpretation of "5 times larger than" leads to impossible conditions. The statement of the problem as shown says each interior angle of a polygon is either 5 or 6 times 360 degrees. Clearly there is no polygon in which each interior angle is either 1800 or 2160 degrees.
So, as stated, we can't help you solve it.
If you want help with it, re-post it so it is clear and makes sense.
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