Question

FAST PLEASE HELP ME Which equation should be used to imply that l and p parallel?

(3x + 14) + (8x - 21) = 180º


2 • (3x + 14) = 8x - 21


(8x - 21) - (3x + 14) = 90º


3x + 14 = 8x - 21

Answer 1

`(3x+14)+(8x-21)=180°`

Explanation:

Angles with measures
`3x+14` and
`8x-21` (or pmore precisely, vertical angle to angle 8x-21) are supplementary (add up to 180°).

Converse to same-side interior angles theorem states that If two same-side interior angles are supplementary, then l║p.

So, to prove that lines l and p are parallel, you have to show that angles
`3x+14` and
`8x-21` are supplementary.

Thus,

`(3x+14)+(8x-21)=180°`