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

Assessment: JAMB UTME - Mathematics - 1986 Subject: General Mathematics

Question 1 Report

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

Answer Details
Given  △  isosceles PQ = QT, SRQ = 35 ∘

TPQ = 20 ∘

PQR = is a straight line

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

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

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

QSR = 180 ∘  - (40 + 35) ∘  = 105 ∘

TSR = 180 ∘  - 105 ∘

= 75

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