In the diagram MN OP QOP 125o What is the size ... - WAEC Mathematics 2011 Question

< NOP = 180 - 125 = 55^o(< s on a straight line)

But < NOP = < ONM (alternate < s)

< ONM = 55^o

< M + < N + < MQN = 180^o (sum of interior < s of a \(\bigtriangleup\)) i.e

65^o + 55^o + < MQN = 180

< MQN = 180 - 12o = 60

< MQR + < MQN = 180 (< s on straight line)

< MQR + 60 = 180

< MQR + 60 = 180

< MQR = 180 - 60

= 120^o