In the diagram, PTS is a tangent to the circle TQR at T. Calculate < RTS

Assessment: JAMB UTME - Mathematics - 1994 Subject: General Mathematics

Question 1 Report

120

^{\circ}

70

^{\circ}

60

^{\circ}

40

^{\circ}

Answer Details

RTS = RQT (angle between a tangent and a chord at the point of contact is equal to the angle in the alternate segment) But R = Q + T = 180

RQT = 180 $^{\circ}$ - (50 + 60)

= 180 $^{\circ}$ - 110 $^{\circ}$

= 70 $^{\circ}$

Since RQT = RTS = 70 $^{\circ}$

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