Question 1131517
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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.<br>
"A regular polygon has interior angles that are..."<br>
Those words indicate that we are talking about EACH interior angle -- not the sum of the interior angles.<br>
"...5 times larger than the sum of the exterior angles."<br>
The sum of the exterior angles of any polygon is 360 degrees.<br>
"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.<br>
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.<br>
So, as stated, we can't help you solve it.<br>
If you want help with it, re-post it so it is clear and makes sense.