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Question

In the given figure, Tr || VS, TU || RS, RPQ is twice of UVS, then find a + b
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A
165
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B
185
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C
225
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D
155
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Solution

The correct option is D 155
In the given figure, Tr || VS, TU || RS, RPQ is twice of UVS
Then
RPQ=2UVS=2(25)=500
TU||RS then UTQ=SRQ=900
And QRP=180-SRQ=180-90=900
IN triangle PQR a=180-QRP-RPQ=180-90-50=400
TR||VS Then b=RTV+UVS=90+25=1150
Then a+b=40+115=1550

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