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

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
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
QSR = 180o – (40 + 35)o = 105o
TSR = 180o – 105o
= 75o

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