in a diagram, PRS is a straight line. PQ = 9.2 cm, QS= 7.6cm and angle QPR =38 degrees.QR is perpendicular to PS.

Calculate angle PQS to nearest 0.1 degrees

2 answers

by law of sines, 7.6/sin38 = 9.2/sinS
knowing P+S+Q = 180 degrees, now you know Q

all information about R is irrelevant
5.7cm