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Line n intersects lines 1 and m, forming the angles shown in the diagram below.
which value of x would prove l parallel to line m?
A. 2.5
B. 4.5
C. 6.25
D. 8.75​

Line n intersects lines 1 and m forming the angles shown in the diagram belowwhich value of x would prove l parallel to line mA 25 B 45 C 625D 875 class=

Respuesta :

akposevictor

Answer:

B. 4.5

Step-by-step explanation:

(6x + 42)° and (18x - 12)° are alternate interior angles. If line l is parallel to line m, therefore,

6x + 42 = 18x - 12

Solve for the value of x. Combine like terms.

6x - 18x = -42 - 12

-12x = -54

Divide both sides by -12

-12x/-12 = -54/-12

x = 4.5

Therefore, x = 4.5 would prove lines l and m are parallel to each other.