If PQR is a straight line with QS = QR, calculate TPQ, If QT\\SR and...

Mathematics

JAMB 1989

If PQR is a straight line with QS = QR, calculate TPQ, If QT\\SR and TQS = 3y^o

A. 62^o
B. 56\(\frac{3}{2}\)^o
C. 20\(\frac{3}{2}\)^o
D. 18^o

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Correct Answer: Option C

Explanation

Since QS = QR

then, angle SQR = angle SRQ

2 SQR = 180 - 56, SQR = \(\frac{124}{2}\) = 62^o

QTP = 62^o

QTP = 62^o, corresponding angle

3y + 56 + 62 = 180 = 3y = 180 - 118

3y = 62 = 180

3y = 180 - 118

3y = 62

y = \(\frac{62}{3}\)

= 20\(\frac{3}{2}\)

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