Question

in figure, determine the measure of angle qsr

Answer 1

120.......,,,,,,,,,,,,,,,,

Answer 2

Pq nd PR are tangents

PQ=PR

Angle PQr=PRQ

In triangle pqr

60+2anglepqr=180 (asp)

Angle pqr =60

Take any pt. A on the corr. Alt. Segment

Join QA nd RA

Angle QAR=angle PQR (angles in alt. Segment are equal)

Angle QAR=60

Angle qsr +qar=180 (aqsr is cyclic quadrilateral)

Angle qsr =180-60

Angle qsr=120