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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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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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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°

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