Question

Determine the value of x for which rls if
A)10
B)0.75
C)1.25
D)20

Answer 1

C

Explanation:

Since R and S are parallel lines, this means that Angle 1 and Angle 2 must be equivalent because they are corresponding angles. So:

`\angle 1 =\angle 2`

Substitute the equations:

`20-8x=30-16x`

Add 16x to both sides:

`20+8x=30`

Subtract 20 from both sides:

`8x=10`

Divide both sides by 8:

`x=10/8=5/4=1.25`

So, our answer is C.

And we're done!

Answer 2

x = 1.25

Explanation:

<1 and <2 are corresponding angles and if the lines are parallel, corresponding angles are equal

<1 = <2

20-8x = 30-16x

Add 16x to each side

20-8x+16x = 30-16x+16x

20 +8x = 30

Subtract 20 from each side

20+8x-20 = 30-20

8x= 10

Divide by 8

8x/8 = 10/8

x = 5/4

x = 1.25