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In the given figure, PTQ, PMR, SMT and Q...

In the given figure, PTQ, PMR, SMT and QRS are straight lines. Find the angle of `angleRMS`.

Text Solution

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Since PQ is straight line and `angleQTM=110^(@)`
`angleTPM+anglePMT=angleQTM`
`60^(@)+anglePMT=110^(@)`
`rArr anglePMT=110^(@)-60^(@)=50^(@)`
`rArr anglePMT=angleRMS" (vertically opposite angles)"`
`rArr angleRMS=50^(@)`
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