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Question

If PQ||ST,PQR=110o and RST=130o, find QRS(Indegrees)
1036073_da2ddf2ca95a4306ace12d0c416ec1dc.PNG

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Solution

Draw a line XY parallel to PQST.

It is known that the sum of interior angles on the same side of the transversal is 180. So,

PQR+QRX=180

110+QRX=180

QRX=70

Similarly,

RST+SRY=180

130+SRY=180

SRY=50

Now, by property of linear pair,

QRX+QRS+SRY=180

70+QRS+50=180

QRS=60


976801_1036073_ans_3fc414d9193f4d5895446cf4c441a646.PNG

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