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Lines and Angles
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10/07/2021 12:41 pm
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In Figure, if lines PQ and RS intersect at point T, such that PRT = 40°, RPT = 95° and TSQ = 75°, find SQT.
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10/07/2021 12:42 pm
Consider triangle PRT.
PRT + RPT + PTR = 180°
PTR = 45°
Now PTR will be equal to STQ as they are vertically opposite angles.
PTR = STQ = 45°
Again, in triangle STQ,
TSQ + PTR + SQT = 180°
Solving this we get,
SQT = 60°