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For the cube shown above, what is the degree measure of PQR

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For the cube shown above, what is the degree measure of PQR [#permalink] New post 02 Feb 2005, 22:35
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For the cube shown above, what is the degree measure of PQR?

A. 30
B. 45
C. 60
D. 75
E. 90
[Reveal] Spoiler: OA

Last edited by Bunuel on 30 Jun 2012, 07:40, edited 1 time in total.
Edited the question and added the OA.
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 [#permalink] New post 02 Feb 2005, 23:03
60 as well

because the figure in question is a cube sides pq,qr,pr are equal. Hence pqr is an equilateral triangle. So you get 60 for each included angle.
Had this been a cuboid, then it is a different story.
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 [#permalink] New post 03 Feb 2005, 06:46
actually the reasning i took was all the diagonals that make the triangle are = as they are formd from the same = sides hence 60
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 [#permalink] New post 03 Feb 2005, 08:24
60 for the triangle being equilateral...all diagonals r equal
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 [#permalink] New post 03 Feb 2005, 08:28
I cannot see the figure. Can anybody tell me how do I do that.
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Re: For the cube shown above, what is the degree measure of [#permalink] New post 30 Jun 2012, 07:34
Hi, I understood the answer and I agree, but I can't find out why my logic isn't right.

Since it's a cube, all angles are 90 degrees, and since PO and RO are the bisectrix of the angle 90, than PQR would have to be 90, which is not the answer. What am thinking wrong?

Thanks.
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Re: For the cube shown above, what is the degree measure of [#permalink] New post 30 Jun 2012, 07:43
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ferrarih wrote:
Hi, I understood the answer and I agree, but I can't find out why my logic isn't right.

Since it's a cube, all angles are 90 degrees, and since PO and RO are the bisectrix of the angle 90, than PQR would have to be 90, which is not the answer. What am thinking wrong?

Thanks.


Below solution might help.

For the cube shown above, what is the degree measure of PQR?
A. 30
B. 45
C. 60
D. 75
E. 90
Attachment:
cube.gif
cube.gif [ 2.28 KiB | Viewed 1551 times ]
Note that triangle PQR is equilateral: it's made by the diagonals of the adjacent faces of the given cube (and as faces of a cube are squares its diagonals are equal). Thus angle BEG=60 degrees.

Answer: C.
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Re: For the cube shown above, what is the degree measure of   [#permalink] 30 Jun 2012, 07:43
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