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avatar+144 

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
 #1
avatar+111357 
+1

Number of degrees interior angle pentagon =  108

Number of degrees interior angle of a hexagon = 120

 

So

 

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
 #2
avatar+1108 
-1

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!

:P

 Jan 30, 2019

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