Question

Can someone help me? My notes don't tell me how to solve and I'm stuck.

Answer 1

This is the question.

Answer 2

First find x. Notice that the angle 130 and 2x forma straight angle, worth 180 degrees. So you can do this:
130 + 2x = 180

Solve for x.

Answer 3

Let me know what you get.

Answer 4

Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

130 = 54 + 4y Solve for y @MynameisHi

Answer 5

Or, use the procedure suggested by @StudyGurl14

The Linear Pair Theorem.

Answer 6

You can really do either one first @MynameisHi

Answer 7

@studygurl14 so I subtract 130 from 180, get 50, and divide by two, crossing out x for now, which is 25? or do I add 130 and 180?

Answer 8

Right x = 25

Answer 9

Now solve the equation @Directrix gave to find y

Answer 10

@studygurl14 so, I subtract 54 from 130 and get 76, then I divide 76 by 4, crossing out the y for now, and I get y = 19

Answer 11

perfect. @MynameisHi

Answer 12

@Directrix we solved for y using your previous equation

Answer 13

Okay. Sorry for the mix-up.

Answer 14

@directrix @studygurl14 I totally get it now, thank you! My teacher didn't really touch up on how to solve these kinds of problems, so you both helped out a lot! Thanks again!

Answer 15

anytime :) glad to help

Answer 16

Yes. It's fun to work together on these problems.