Question

A transversal intersects two given
lines in such a way that the interior
angles on the same side of the
transversal are equal. Is it always true
that the given lines are parallel ? If
not, state the conditions under which
the two lines will be parallel.​

Answer 1

Answer:

it is true ,but not always

Step-by-step explanation:

the sum of co interior angles on the same side of transversal is 180

so given condition is about both angles are 90°

if angles are not equal their sum will always 180°

the lines are parallel

Answer 2

true

Step-by-step explanation:

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

∘

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

So the statement is true