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Re: For the cube shown above, what is the degree measure of PQR [#permalink]
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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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Re: For the cube shown above, what is the degree measure of PQR [#permalink]
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Hi Bunuel, since the face of a cube forms the square and the diagonal of the square bisects the angles.The 2 diagonals shown in the pictures and each makes an angle of 45.Thus,why not the answer is 45+45=90?Can you please help me to understand this.

Because these two squares are not in the same plane. If the square were in the same plane (as shown below), then you would be correct:



Does this make sense?


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squares.png
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Re: For the cube shown above, what is the degree measure of PQR [#permalink]
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Hi Bunuel, since the face of a cube forms the square and the diagonal of the square bisects the angles.The 2 diagonals shown in the pictures and each makes an angle of 45.Thus,why not the answer is 45+45=90?Can you please help me to understand this.
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Re: For the cube shown above, what is the degree measure of PQR [#permalink]
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Re: For the cube shown above, what is the degree measure of PQR [#permalink]
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nocilis
Attachment:
The attachment cube.gif is no longer available
For the cube shown above, what is the degree measure of PQR?

A. 30
B. 45
C. 60
D. 75
E. 90


Draw a construction (Pink Line) and

Answer: Option C
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Re: For the cube shown above, what is the degree measure of PQR [#permalink]
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nocilis
Attachment:
cube.gif
For the cube shown above, what is the degree measure of PQR?

A. 30
B. 45
C. 60
D. 75
E. 90

If we draw a line segment from P to R, we see that the length of PR = length of PQ = length of RQ, since each segment is the diagonal of a square face of the cube.

Thus, we have triangle PQR with all sides of equal lengths, and thus the degree measure of angle PQR is 60 degrees.

Answer: C
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Re: For the cube shown above, what is the degree measure of PQR [#permalink]
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Re: For the cube shown above, what is the degree measure of PQR [#permalink]
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