Question

Can someone please help me!? Giving medal to the best answer. Please, please, please. It's the only one I don't know.
Lines p and q are parallel. Angles one and four are supplementary angles. If the measure of angle one equals the quantity of four times x degrees and the measure of angle four equals the quantity of four times x plus twenty degrees, what is the measure of angle four?

Two parallel lines, labeled p and q, are cut by a transversal.

twenty degrees

eighty degrees

one hundred degrees

one hundred twenty degrees

Answer 1

Here is the Picture.

Answer 2

Start by converting the words into equations

m<1 = 4x
m<4 = 4x +20

You know they're supplementary which means they (both of the angles) add up to 180

Answer 3

yes, but how do I get that? @bibby

Answer 4

The words "Angles one and four are supplementary angles"
mean that m<1 + m<4 = 180. You can just replace the angle measurements with what I wrote out

Answer 5

Okay, but how do I find x? @bibby

Answer 6

Can you solve an equation?

m<1 = 4x
m<4 = 4x +20
m<1 + m<4 = 180

4x + 4x + 20 = 180

Answer 7

Please help me. I don't get it. When I do the equation, I get 10...
@bibby

Answer 8

Well first things first. We combine like terms and get 8x +20 = 180
Subtract 20 and get 8x = 160
x = ?

Answer 9

20! Omg thank you so so so much!!! <3 @bibby

Answer 10

That's not the answer though. Remember what the question is. What is the measurement of angle 4?

Answer 11

what.

Answer 12

oh. the answer is 80.

Answer 13

You didn't answer the question yet. You solved for what x is. You still have to plug it back in.

m<4 = 4x +20

80? How'd ya get that

Answer 14

the answer is 100... whoops. @bibby

Answer 15

a+, gold stars, whoop whoop. Great job

Answer 16

omg I can't thank you enough haha thank you.@bibby

Answer 17

@bibby ^^