http://imgur.com/c7nVHJ5

I don't understand how to solve this problem. As you can see, I have already failed it, but I am still confused on how to come to the answer. I know I'm supposed to use TST (Triangle Sum Theorem), but I am unsure of what I should do to start.

Question

http://imgur.com/c7nVHJ5

I don't understand how to solve this problem. As you can see, I have already failed it, but I am still confused on how to come to the answer. I know I'm supposed to use TST (Triangle Sum Theorem), but I am unsure of what I should do to start.

chicatica11 · Answer

how do you think this problem needs to be solved?

ithinkofmyfuturekid · Answer

I'm not exactly sure how to start solving it, but I know that I need to use the Triangle Sum Theorem

chicatica11 · Answer

ok give me a sec

chicatica11 · Answer

do you understand the Triangle sum Theorem?

ithinkofmyfuturekid · Answer

Yes, TST means that the sum of all the angles in a triangle equal to 180 degrees.

chicatica11 · Answer

yes

chicatica11 · Answer

so you know alternate interior angles are congruent

ithinkofmyfuturekid · Answer

Yes

chicatica11 · Answer

okay im working on it just give me a minute and ill work you through how i get my answer.

ithinkofmyfuturekid · Answer

Okay, thank you :)

chicatica11 · Answer

your welcome

chicatica11 · Answer

so in the blue next to your problem that 78 stands for what?

ithinkofmyfuturekid · Answer

It's the correct answer. This question was from a quiz, and I got it wrong

chicatica11 · Answer

okay so what i got is you have to do all the alternate interior angles of the image.can you tell me what ones you see?

mertsj · Answer

|dw:1465354587082:dw|

ithinkofmyfuturekid · Answer

I hadn't noticed the alternate interior angles, possibly because the right side was split..

chicatica11 · Answer

|dw:1465355047940:dw|