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Question

In Fig., line l || m, ∠1 = 120° and ∠2 = 100°, find out ∠3 and ∠4.


Solution


In the given figure, ∠1 = 120° and ∠2 =100°.
Since l || m, so
2=5=100°              Alternate interior angles5+3=180°                Linear pair3=180°-5=180°-100°=80°          
Also,
1+6=180°          Linear pair6=180°-1=180°-120°=60°
We know that the sum of all the angles of triangle is 180°.
6+3+4=180°60°+80°+4=180°140°+4=180°4=180°-140°=40°

Mathematics
RD Sharma (2014)
Standard VII

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