Question

if a transversal intersects two parrelel lines then interior angles on the same side of transversal are ​

Answer 1

Answer:

hope it helps you

Step-by-step explanation:

When a transversal intersects two lines, the two lines are parallel if and only if interior angles on the same side of the transversal and exterior angles on the same side of the transversal are supplementary (sum to 180°).

Answer 2

$\bold{AnsweR:}$

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Step-by-step explanation:

Theorem: If a transversal intersects two parallel lines, then 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 is supplementary, then the two lines are parallel.

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?

answer- 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.

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