Question

Find Angle POS, PRS, PSQ and SPQ. (No wrong answers)

Answer 1

Answer:

angle QSP=angle QRP due to angle inscribed in same are are congruent,so measure of angle QSP=35°

angle OSP=OPS due to equal side opposite to angle is equal so OSP=42°

In ∆OPS,angle OPS=OSP=42° then Angle POS =96°

THEN, 1/2 of PRS=POS due to if central angle and inscribe angle are in same arc then measure of central angle if 2 times than inscribe angle so PRS=1/2 of 96°=48°