Question

Simply geometry problem? Solve for a.
https://elk12.brainhoney.com/Resource/9506404,547,0/Assets/AQ13GE_GE238_04_stem1_1.gif

Answer 1

When 2 straight lines cross, the opposite angles are equal
Set your opposite angles equal and solve the algebra equation for a.

Answer 2

The vertical angle theorem proves that two lines that intersect the opposite angles are equal, so those two equations are equal to each other

Answer 3

@BlueDawn It's multiple choice. I'm having problems understanding how to solve the equations.
A. 8
B.9
C.15
D.34

Answer 4

2(3a - 7) = 5a - 6
First, distribute that 2 on the left
6a - 14 = 5a - 6
Add 14 to both sides
6a = 5a + 8
Subtract 5a from both sides
a = 8

Answer 5

@BangkokGarrett Thank you so much. Do you think you can help explaining this one too? http://openstudy.com/users/whitknee#/updates/530ce03ee4b078369d730b68