JAMB - Mathematics (1991 - No. 44)

PMN and PQR are two secants of the circle MQTRN and PT is a tangent. If PNR = 110^o and PMQ = 55^o, find MPQ

40^o

30^o

25^o

15^o

PQM = 110^o(Ext. < of a cyclic quad)

MPQ = 180^o - (110 + 55)

= 180^o - 165^o

= 15^o