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Question

Question 17

In ΔPQR, if PQ = QR and Q=100, then R is equal to

a) 40
b) 80
c) 120
d) 50

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Solution

In ΔPQR, PQ = QR [given]
Let P=x
Therefore,
R = x [since equal sides opposite angles are equal]

P+Q+R=180 [angle sum property of a triangle]
x+100+x=180
2x+100=1802x=80x=40
Hence, P=R=40


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