Question

If m angle 2= 7x + 7, m angle 3 = 5y, and m angle 4= 140, find the values of x and y.

x = 19, y = 8
x = 140, y = 40
x = 8, y = 19
x = 40, y = 140

Answer 1

Help mee

Answer 2

Is there a figure that shows the relationship between the angles?

Answer 3

yup

Answer 4

Ok.
Do you know the name of angles 1 and 3 in the figure below?

Answer 5

vertical angles ?

Answer 6

Correct.
What do you know about the measures of vertical angles?

Answer 7

im about to get bumped /:

Answer 8

they are equal

Answer 9

Correct.
Two more questions about the angles.
WHat are angles 1 and 2 called, and what do you now about their measures?

Answer 10

they are supplementary, 180

Answer 11

Wow, you know your stuff. Great.
Now we are ready to solve this problem.

Answer 12

auuuuright

Answer 13

Angles 1 and 4 are vertical and have the same measure.
m<2 = 7x + 7 m<4 = 140
That means
7x + 7 = 140
Now we solve that equation.

Answer 14

Do you know how to solve that equation?

Answer 15

You need to isolate x.
First, subtract 7 from both sides.
Then divide both sides by 7.

Answer 16

19 ?

Answer 17

Correct.
x = 19
Now we need y.

Answer 18

We know this about y:

m<3 = 5y

We need to find the measure of angle 3, then we can find y.

Answer 19

Angle 3 is supplementary to angle 4.
The measure of angle 4 is 140. What is the measure of angle 3?

Answer 20

8 ?

Answer 21

thanks! @mathstudent55

Answer 22

Correct.
m<3 is 40
3y = 40
y = 8
Great job!

Answer 23

You're welcome.

Answer 24

If m<2 = 7x + 7, m<3 = 4y, and m<4 = 112, find the values of x and y.

x = 15, y = 17
x = 112, y = 68
x = 17, y = 15
x = 68, y = 112
@mathstudent55

Answer 25

i need help agen

Answer 26

Same figure?

Answer 27

yes

Answer 28

Measures of angles 2 and 4 are the same since angles 2 and 4 are vertical.
Set their measures equal and solve for x.

Answer 29

What do you get for x?

Answer 30

x=15 and y=17 ?! (: right ??

Answer 31

Correct. Great job again!

Answer 32

gtg, bye