Question

In the figure below, lines r and s are parallel. What is the measure of angle three? Explain how you know.

Answer 1

Do you know which angles should be equal?

Answer 2

S and R?

Answer 3

S and R are lines not angles.

Answer 4

Oh then, 6 and 1 and 3 and 5?

Answer 5

Do you mean all four of those are equal.

Answer 6

I believe so, yes.

Answer 7

Look at the image. Does angle 1 look equal to angle 3?
If you have two parallel lines intersect another line the angle measures are as follows.
Do you see why?

Answer 8

Yes because they are equal.

Answer 9

Do you know why they are equal?

Answer 10

Because they are parallel.

Answer 11

We are given this

Answer 12

since r || s, we can say that the corresponding angles are congruent

so these two angles are congruent