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

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

A.

40^o

B.

30^o

C.

25^o

D.

15^o

View answer & explanation

Correct answer is D

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

MPQ = 180^o - (110 + 55)

= 180^o - 165^o

= 15^o

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