Question

Prove that if a transversal intersects two parallel lines,then each pair of interior angles on the same side of the transversal is supplementary

Answer 1

●◆Ekansh Nimbalkar◆●
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Answer 2

hey friend! here is your answer-
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1. to Prove that if a transversal intersects two parallel lines,then each pair of interior angles on the same side of the transversal is supplementary?

ans- first of all we know that If a transversal line intersects two parallel lines, then each pair of co- interior angles also known as interior angles on the same side of the transversal will be supplementary.

to prove that example-
figure is given in attachment.
to prove that-

angle 8+ angle 1=180 degree.
angle 5+ angle 4=180 degree.
line segment dividing them is l so,
so, 8+1=180 (linear pair)
so, next one 5+4= 180 (linear pair)
thereby these both are 180 degrees.
so hence it is proved...............
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