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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

#1
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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...!!!   Jan 30, 2019
edited by CPhill  Jan 30, 2019
#2
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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