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# If a represents the measure of an interior angle of a regular octagon

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Math Expert
Joined: 02 Sep 2009
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If a represents the measure of an interior angle of a regular octagon  [#permalink]

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30 Nov 2016, 03:03
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Difficulty:

35% (medium)

Question Stats:

73% (01:56) correct 27% (02:22) wrong based on 113 sessions

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If a represents the measure of an interior angle of a regular octagon and b represents the measure of an interior angle of a regular pentagon, what is the ratio a:b?

A. 5:4
B. 4:3
C. 3:2
D. 7:4
E. 9:5

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Re: If a represents the measure of an interior angle of a regular octagon  [#permalink]

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30 Nov 2016, 03:17
1
To determine interior angle of a regular polygon having "n" number of sides is (n-2)/2*180.
For octagon, the value of individual angle = 135.
For pentagon, the value of individual angle = 108
135:108 = 5:4. Hence answer is A.
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Re: If a represents the measure of an interior angle of a regular octagon  [#permalink]

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30 Nov 2016, 03:46
1
Bunuel wrote:
If a represents the measure of an interior angle of a regular octagon and b represents the measure of an interior angle of a regular pentagon, what is the ratio a:b?

A. 5:4
B. 4:3
C. 3:2
D. 7:4
E. 9:5

sum of interior angle is given by : (n-2) * 180

sum of interior angle of octagon: (8-2) * 180 = 1080. so for each angle 1080/8 = 135

sum of interior angle of pentagon: (5-2) * 180 = 540, so for eacg angle 540/5 = 108

135 : 108
5: 4

Ans: A
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Re: If a represents the measure of an interior angle of a regular octagon  [#permalink]

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15 Aug 2018, 08:06
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Re: If a represents the measure of an interior angle of a regular octagon   [#permalink] 15 Aug 2018, 08:06
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