If PST is a straight line and PQ = QS = SR in the diagram, find y.
 

  • A 24°
  • B 48°
  • C 72°
  • D 84°

The correct answer is A. 24°

1. \(\angle PSQ = \angle SQR = \angle SRQ = 24^\circ\)

2. \(\angle QSR = 180^\circ - 48^\circ = 132^\circ\)

3. \(\angle PSQ + \angle QSR + y + 180^\circ\) (angle on a straight line)

4. \(24^\circ + 132^\circ + y = 180^\circ\)

5. \(156^\circ + y = 180^\circ\)

6. \(y = 180^\circ - 156^\circ\)

7. \(y = 24^\circ\)

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