CBSE Class 9 Answered
In
fig., PQ||RS and T is any point as shown in figure then show that 
PQT + QTS + RST = 360o
PQT + QTS + RST = 360o
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
Construction: Draw a line AB parallel to PQ through T.
Since, AB||PQ and PQ||RS therefore PQ||AB||RS.
If the lines are parallel then the sum of interior angles on the same side of transversal is 180o, therefore
1
+ 2 = 180o … (i)
And,
3 + 4 = 180o … (ii)
Adding (i) and (ii), we get
1
+ 2 + 3 + 4= 180o + 180o
Or, PQT + QTS + RST = 360o
Hence proved.
Answered by | 04 Jun, 2014, 03:23: PM
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