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Question

In the figure, if PQST,PQR=110 and RST=130, find QRS.
463659.jpg

Solution
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PQST,PQR=110 and RST=130

Construction: A line XY parallel to PQ and ST is drawn.

PQR+QRX=180 (Angles on the same side of transversal.)

110+QRX=180

QRX=70

Also RST+SRY=180 (Angles on the same side of transversal.)

130°+SRY=180

SRY=50

Now, QRX+SRY+QRS=180o

70+50+QRS=180

QRS=60

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