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Question

In the given figure, if lines PQ and RS intersect at point T, such that PRT=40,RPT=95 and TSQ=75, find SQT.


Solution

Using angle sum property for PRT, we obtain,
PRT+RPT+PTR=180
40+95+PTR=180
PTR=180135
PTR=45
STQ=PTR=45 (vertically opposite angles)
STQ=45
By using angle sum property for STQ, we obtain,
STQ+SQT+QST=180
45+SQT+75=180
SQT=180120
SQT=60

Mathematics

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