JAMB - Mathematics (1983 - No. 44)
PQRS isa cyclic quadrilateral which PQ = PS. PT is a tangent to the circle and PQ makes an angle of 50o with the tangent as shown in the figure. What is the size of QRS?
50o
40o
110o
110o
80o
100o
Explication
< SPQ = 80o
< SPQ + < SRQ = 180(Supplementary)
80 +
< QRS = 180o - 80o
= 100o
< SPQ + < SRQ = 180(Supplementary)
80 +
< QRS = 180o - 80o
= 100o