Question

Can some one give a brief lecture on how to do this because I just need a little lesson on how to find x not the answers but just a little lesson
http://oi44.tinypic.com/2uiw7sl.jpg

Answer 1

The important part is the two arrows. These indicate the two lines are parallel.

Two parallel lines cut by a transversal is a structure with many important properties.

http://www.mathwarehouse.com/geometry/angle/parallel-lines-cut-transversal.php

Answer 2

Would that indicate they will be the same degrees

Answer 3

Alternate interior angles are congruent.

Answer 4

Since a transversal cuts into twos do you divide by 2

Answer 5

?? Divide what by 2?

xº is congruent to its alternate interior angle, 42º

Answer 6

in parallel lines and transversals you do not divide or multiply anything. You just have to see which angles will be congruent. So as soon as you see two parallel lines and a transversal I suggest you do the following

Answer 7

I just drew your picture horizontally

Answer 8

This is what you have

Answer 9

So they will be alternate interior angles in which makes them congruent

Answer 10

yes

Answer 11

if you are able to see that then I have nothing to teach you

Answer 12

I always advice my students to draw shoe strings to see which angles will be congruent

Answer 13

Yeah is that picture of those triangles are what messes me up sometimes... Thanks for the tip of shoe laces. I'll try that on the final