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What is the ratio of the number of degrees in the interior angle of a regular pentagon to the number of degrees in the interior angle of a regular hexagon?
Write your answer as a common fraction.


Isn't the answer 3/4? 


Since you do:


180(n-2) : 180(n-2)


so it's 


540 : 720

which is 3:4

 Jan 30, 2019

Number of degrees interior angle pentagon =  108

Number of degrees interior angle of a hexagon = 120




108 /120 =   9/10


Your answer for the ratio of the  interior angle sums is correct...!!!



cool cool cool

 Jan 30, 2019
edited by CPhill  Jan 30, 2019

Well, that's for the SUM of the interior angles. The question is asking for the "interior angle," which is just one angle.

So you got the interior angles as 540 for a pentagon and 720 for a hexagon, right? That is correct.

Now just divide 540 by 5 because a pentagon has 5 angles to find the measure of one angle. 540 divided by 5 is 108.

Same thing - divide 720 by 6 b/c a hexagon has 6 angles. 720 divided by 6 is 120.


Now - \(108:120=9:10=\frac{9}{10}\)


You are very welcome!


 Jan 30, 2019

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