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In Figure, if lines P Q\ a n d\ R S inte...

In Figure, if lines `P Q\ a n d\ R S` intersect at a point `T` such that `/_P R T=40^@,\ /_R P T=95^@a n d\ /_T S Q=75^@,` find `/_S Q T`.

Text Solution

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`/_ PRT`
`anglePRT+angleRPT+anglePTR=180^0`
`40^o +95^o +anglePTR=180^o`
`anglePTR=45^0`
`angleQTS=anglePTR`
`angleQTS=45^o`
`/_SQT`
`angleSQT+angleQTS+angleTSQ=180^o`
...
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