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

50 Points Find the value of r in the figure Assume that lines a and bare parallel 4r 30 2x b class=

Respuesta :

Answer:

A) x = 15

Step-by-step explanation:

4x - 30 = 2x

subtract 2x from each side of the equation:

2x - 30 = 0

add 30 to each side:

2x = 30

x = 15

Nayefx

Answer:

[tex] \displaystyle A) {15}^{ \circ} [/tex]

Step-by-step explanation:

remember that,

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

[tex] \displaystyle 4x - 30 = 2x[/tex]

cancel 2x from both sides:

[tex] \displaystyle 2x - 30 = 0[/tex]

add 30° to both sides:

[tex] \displaystyle 2x = 30[/tex]

divide both sides by 2:

[tex] \displaystyle x =15[/tex]

hence

our answer is A)