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In the diagram, /MN/, /OP/, /QOP/ = 125o. What is the siz...

In the diagram, /MN/, /OP/, /QOP/ = 125o. What is the size of < MQR?

In the diagram, /MN/, /OP/, /QOP/ = 125o. What is the size of < MQR?

A.

11^o

B.

120^o

C.

130^o

D.

160^o

View answer & explanation

Correct answer is B

< 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

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