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For the cube shown in the figure above, what is the degree measure of
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05 Jan 2025, 14:11
05 Jan 2025, 14:11
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50% (01:18) correct
50% (01:18) wrong based on 2 sessions
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GRe For the cube shown in the figure above,.jpg [ 30.48 KiB | Viewed 111 times ]
For the cube shown in the figure above, what is the degree measure of $\(\angle P Q R\)$ ?
(A) $\(30^{\circ}\)$
(B) $\(45^{\circ}\)$
(C) $\(60^{\circ}\)$
(D) $\(75^{\circ}\)$
(E) $\(90^{\circ}\)$
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Re: For the cube shown in the figure above, what is the degree measure of
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07 Jan 2025, 08:40
07 Jan 2025, 08:40
Should the answer not be C?
For the cube shown in the figure above, what is the degree measure of
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07 Jan 2025, 09:10
07 Jan 2025, 09:10
Expert Reply
Attachment:
GRe cube (2).jpg [ 22.04 KiB | Viewed 48 times ]
We know\( \angle \mathrm{PQT}=45^{\circ} \) as \({PQ}\) is a diagonal of square \(PTQV\)
Similarly as QR is a diagonal of square \(TRUQ\), we get $\(\angle \mathrm{RQT}=45^{\circ}\)$
Finally $\(\angle \mathrm{PQR}=\angle \mathrm{PQT}+\angle \mathrm{RQT}=45^{\circ}+45^{\circ}=90^{\circ}\)$
Hence the answer is (E).
Attachment:
GRe For the cube shown in the figure above,.jpg [ 21.52 KiB | Viewed 47 times ]
