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Question

In the given figure, PT=QRandPT||QR and the three sides PQ=RS=TS. If QPT=108°, then QRS is equal to


A
1220
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B
1480
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C
1680
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D
1800
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Solution

The correct option is C 1680
Given that PT=QR and PT||QR.
Thus, PQRT is a parallelogram.
TR=PQ and TR||PQ
TR=RS=TS
(PQ=RS=TS)
Therefore, ΔRST is an equilateral triangle.
TRS=60°
Also, in a parallelogram opposite angles are equal.
QRT=QPT=108°
QRS=QRT+TRS
=108°+60°
=168°
Hence, the correct answer is option (c).

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