Question

What are the values of rand s?​

Answer 1

Answer:

s=15

r=10

Step-by-step explanation:

What we know)

The measure of a line is 180º

If two parrel lines are cut by a transversal, the corresponding angles are congruent (corresponding angles postulate)

What we can figure out)

The angle measuring 3r+3s and 6r+3s are on the same line, so

3r+3s+6r+3s=180

3r+3s and 6r+s are corresponding, so

3r+3s=6r+s

Solve)

Now, we just need to solve the equations.

3r+3s+6r+3s=180 can be condensed into 9r+6s=180 by combining like terms. Then, you can divide by 3 to get 3r+2s=60

3r+3s=6r+s can be turned into 2s=3r by subtracting 3r and s.

So we have 3r+2s=60 and 2s=3r

We can substitute 2s for 3r

2s+2s=60

4s=60

s=15

Then, we can plug s=15 into the equation

2(15)=3r

30=3r

r=10