Question

The figure below shows a transversal t which intersects the parallel lines AB and CD.



Write a paragraph to prove that the sum of the measures of angle 1 and angle 2 is equal to 180°.

Answer 1

I don't want you to write me one I just need help writing it myself :)

Answer 2

@Mertsj

Answer 3

What can you say about angles 1 and 3?

Answer 4

trying to think of the word, supplementary?

Answer 5

Yes. In other words, their sum is 180

Answer 6

And what about 2 and 3. What do you know about them?

Answer 7

Don't know the word but... Their congruent I beleive

Answer 8

Yes they are congruent. Do you know why?

Answer 9

I'm not good at remembering all my theorems :)

Answer 10

I know theres a theorem.. Umm opposite interior angles theorem?

Answer 11

If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

Answer 12

Alright so 2 and 3 are congruent because of the alternate interior angles theorem.

Answer 13

So you know that angle 1 + angle 3 = 180 and that angle 2 = angle 3. So in the first statement, replace angle 3 with angle 2.

Answer 14

And get a list of your theorems in a notebook or something so you can find them when you need them.
And learn the terminology. It doesn't matter where you are working, or what you are studying, you need to be fluent in the language of the activity.

Answer 15

alright thanks :) if I have more questions I'll tag you.

Answer 16

ok