In the diagram above PQO is a diameter of the c... - JAMB Mathematics 2006 Question

In the diagram above, PQO is a diameter of the circle PQR. If < PSR = 145^o find x^o

Construction RQ

< PRQ = 90^o(amgle substended at the circumfernce of a circle by diameter). Also in figure PQRS

< PQS + PSQ = 180(supplementary angle)

< PQS = 180 - 145 = 35

In (\bigtriangleup)PRQ x = 180 - 935 = 90)

x = 55