What is the value of x in the octagon? : GMAT Problem Solving (PS)
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# What is the value of x in the octagon?

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Manager
Joined: 29 Nov 2011
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What is the value of x in the octagon? [#permalink]

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31 May 2012, 02:57
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Bunuel, can you help me with this question? I am not sure if this is a GMAT type question.

What is the value of x in the octagon?

A. 180
B. 540
C. 360
D. 135
E. 120
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Manager
Joined: 08 Apr 2012
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Re: What is the value of x in the octagon? [#permalink]

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31 May 2012, 03:34
Smita04 wrote:
Bunuel, can you help me with this question? I am not sure if this is a GMAT type question.

What is the value of x in the octagon?

A. 180
B. 540
C. 360
D. 135
E. 120

Hey,

I'm assuming that this is a regular octagon. This can be divided into 8 congruent triangles.

So the measure of the angles around the center = 360 degrees

There can be 8 triangles around the center and the measure of the apex angle, q for each triangle will be equal.

Hence each apex angle, q = 360/8 = 45

Hence, measure of angle x = 180 - 45 = 135 degrees.

Regards,

Shouvik.
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Octagon.JPG [ 39.32 KiB | Viewed 2075 times ]

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Shouvik
http://www.Edvento.com

Last edited by Edvento on 31 May 2012, 11:48, edited 3 times in total.
Manager
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Re: What is the value of x in the octagon? [#permalink]

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31 May 2012, 03:55
Post removed.

Regards,

Shouvik
_________________

Shouvik
http://www.Edvento.com

Last edited by Edvento on 31 May 2012, 04:04, edited 1 time in total.
Manager
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Re: What is the value of x in the octagon? [#permalink]

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31 May 2012, 03:58
Assuming it a regular octagon,

The center (360 degrees) can be divided into 8 equal parts.
Or to say into 8 congruent triangles.

360/8 = 45

x is total of 3 parts;
3x = 3x45 = 135

With c
Re: What is the value of x in the octagon?   [#permalink] 31 May 2012, 03:58
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