Question

5. For Which value of x is line L parallel to line m?

A. 28
B. 62
C. 22
D. 68

If you don't know the answer, please don't answer at all, thanks! I need an answer + explanation ..

Answer 1

(2x + 6)° and 130° are supplementary.

⇛ 2x° + 6° + 130° = 180°

⇛ 2x° + 136° = 180°

⇛ 2x° = 44°

⇛ x° = 22°

The value of x for which line l is parallel to line m,

\large{ \boxed{ \bf{ \red{x = 22 \degree}}}}

Answer 2

`x=22`

Explanation:

we know that

If line l is parallel to line m

then

`130\°+(2x+6)\°=180\°` -----> by supplementary angles (consecutive interior angles)

solve for x

`136+2x=180`

`2x=180-136`

`2x=44`

`x=22`