Theoretical Foundations of Subtended Angles and Arcs

Theoretical Foundations of Subtended Angles and Arcs

Secondary 3

In the diagram, \(O\) is the centre of the circle.
\(PQ\) is parallel to \(SR\), \(\angle PRS=42{}^\circ\) and \(\angle OSR=28{}^\circ\).
Calculate

  1. \(\angle POS\),
  2. \(\angle PQR\),
  3. \(\angle OPR\).

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Answer:(a) \(84^\circ\) (b) \(104^\circ\) (c) \(14^\circ\)

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