Question

From the following figure, how can you conclude that lines l and m are parallel?

Alternate exterior angles theorem
Corresponding angles postulate
Alternate interior angles theorem
Same side interior angles theorem

Answer 1

Corresponding angles postulate, as the two 35 degree angles are corresponding.

Answer 2

Corresponding angles postulate

Explanation:

we know that

The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal, the resulting corresponding angles are congruent

In this problem we have

the transversal line is the line t

the two parallel lines are the lines l and m

In the figure

the lines l and m are parallel

because

`35\°=35\°` ------> the two angles are congruent by corresponding angles