Question

A transversal intersects two lines. Which condition would always make the two lines parallel? * options-
Co-interior angles are equal.
Vertically opposite angles are equal.
Alternate interior angles are equal.
Sum of corresponding angles is 180.​

Answer 1

Answer:

As per the co-interior angles theorem, if a transversal intersects two parallel lines, each pair of co-interior angles is supplementary (their sum is 180°). Conversely, if a transversal intersects two lines such that a pair of co-interior angles are supplementary, then the two lines are parallel.

Answer 2

Answer:

Correct option is

A

True

From the figure

x+1=180

∘

y+2=180

∘

Adding above equations

x+y+1+2=360

∘

given x+y=1+2

x+y+x+y=360

∘

2(x+y)=360

∘

x+y=180

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Angles made on same side of transversal is supplementary . So the lines are parallel

So the statement is true