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In the figure, \(\bigtriangleup\)PQT is isosceles. PQ = QT, SRQ = 35o, TPQ = 20o...

Mathematics
JAMB 1986

In the figure, \(\bigtriangleup\)PQT is isosceles. PQ = QT, SRQ = 35o, TPQ = 20o and PQR is a straight line.Calculate TSR

  • A. 20o
  • B. 55o
  • C. 75o
  • D. 140o
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Correct Answer: Option C
Explanation

Given \(\bigtriangleup\) isosceles PQ = QT, SRQ = 35o

TPQ = 20o

PQR = is a straight line

Since PQ = QT, angle P = angle T = 20o

Angle PQR = 180o - (20 + 20) = 140o

TQR = 180o - 140o = 40o < on a straight line

QSR = 180o - (40 + 35)o = 105o

TSR = 180o - 105o

= 75o

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