Home » In the diagram, (Phat{Q}S = 65^o, Rhat{P}S = 40^2hspace{1mm}andhspace{1mm}Qhat{S}R=20^ohspace{1mm}Phat{S}Q)

In the diagram, (Phat{Q}S = 65^o, Rhat{P}S = 40^2hspace{1mm}andhspace{1mm}Qhat{S}R=20^ohspace{1mm}Phat{S}Q)

In the diagram, (Phat{Q}S = 65^o, Rhat{P}S = 40^2hspace{1mm}andhspace{1mm}Qhat{S}R=20^ohspace{1mm}Phat{S}Q)

  • A.
    85o
  • B.
    60o
  • C.
    55o
  • D.
    45o
Correct Answer: Option C
Explanation

< QPS = < PRS = 65° (angles in the same segment)

< PSR + 40° + 65° = 180°

< PSR + 105° = 180°

< PSR = 75°

< PSR = < PSQ + < QSR

75° = < PSQ + 20° (implies) < PSQ = 75° – 20° = 55°

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