Question

50 Points

Find the value of r in the figure.
Assume that lines a and bare parallel.
(4r - 30)
(2x)
b

Answer 1

`\displaystyle A) {15}^( \circ)`

Explanation:

remember that,

when a transversal crosses two parallel lines then the Alternate interior angles are equal that is being said

`\displaystyle 4x - 30 = 2x`

cancel 2x from both sides:

`\displaystyle 2x - 30 = 0`

add 30° to both sides:

`\displaystyle 2x = 30`

divide both sides by 2:

`\displaystyle x =15`

hence

our answer is A)

Answer 2

A) x = 15

Explanation:

4x - 30 = 2x

subtract 2x from each side of the equation:

2x - 30 = 0

add 30 to each side:

2x = 30

x = 15