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Question

In fig. TQ and TR are bisectors of Q and R respectively. If QPR = 80 and PRT = 30. Determine TQR. [4 MARKS]

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Solution

Concept : 1 Mark
Process : 2 Marks
Result : 1 Mark

Since the bisectors of Q and R meet at T.

QTR = 90 + 12QPR [By Corollary]

= 90 + 12×80

QTR = 130


In ΔQTR, we have

TQR + QTR + TRQ = 180

TQR + 130 + 30 = 180


TQR = 20


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