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In the given figure , bar(LM)||bar(NO), ...


In the given figure , `bar(LM)||bar(NO), /_QMR=50^(@)` and `/_RSO =110^(@)`. Find `/_ MRQ`.

A

`60^(@)`

B

`70^(@)`

C

`80^(@)`

D

`50^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A

Given `bar(LM) ||bar(NO),/_ RSO =110^(@)` and `/_QMR =50^(@)`
`/_MQR+/_RSO =180^(@)`
`( :' LM ||ON)`
`implies /_MQR =180^(@)-110^(@)=70^(@)`
In `Delta MQR,/_MRQ=180^(@)-80^(@)=50^(@)=60^(@)`
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