Question

G: A PARALLEL B
<1=X+3Y
<2=2X+30
<3=5Y+20
FIND M<1
WHAT I KNOW :
2X+30+5Y+20=180

Answer 1

Where is angle 1?

Answer 2

Ok.
What you wrote above is correct.
Angles 2 and 3 are same side interior angles, so they are supplementary.
That means the sum of their measures is 180.
That gives you one equation.

What are angles 1 and 3 called?

Answer 3

CORRESPONDING THERE CONG

Answer 4

Can you please use small case letters?

Answer 5

Yes, that's correct.
What do you know about corresponding angles of parallel lines?

Answer 6

Oh, I see, you already wrote cong.
Ok, angles 1 and 3 are congruent.
What equation do you get from that?

Answer 7

x+3y=5y+20

Answer 8

Great.
Now you have two equations in two unknowns. You can solve the system of equations for x and y.

Here is the system of equations:

\(2x+30+5y+20=180\)

\(x+3y=5y+20\)

Do you know how to solve a system of equations?

Answer 9

does x=5y-17

Answer 10

No.
You need to subtract 3y from both sides in the second equation, not 3.

Answer 11

2x + 30 + 5y + 20 = 180
x + 3y = 5y + 20

Let's combine like terms in the first equation:
2x + 5y + 50 = 180
Now let's subtract 50 from both sides:
2x + 5y = 130

Now, let's subtract 3y to the right in the second equation:
x = 2y + 20

Answer 12

The two equations in our system now are:

2x + 5y = 130
x = 2y + 20

Since the second equation is solved for x, use the substitution method and substitute what x is equal to in the first equation. Then solve for x.

Answer 13

does m<1=70

Answer 14

Correct.

Answer 15

thanks

Answer 16

You're welcome.