Point P, Q, R, S and T tie in this order on a circle with centre O. If chord TS is parallel to diameter PR and ∠RQT = 58°, then find the measure (in degrees) of ∠RTS.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e 32.
RQT = RPT = 58°( Angle on the segment)
PTR = 90° (angle in a semi-circle is equal to 90°)
PRT = 180 - 90 - 58 = 32°
RTS = PRT = 32° (Alternate interior angle).