For which value of x is line l parallel to line m?A. 28B. 62C. 22D. 68
1 answer:
For line l parallel to line m, the interior angles on the same side of the transversal should add upto 180° or in better words, they must be supplementary.
So, we can write that,
(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,
And we are done !!
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EXPLANATION
Recall that,
That is why
is equivalent to
This implies that,
This is the same as,
When we are dividing by
we move the decimal point backwards two times.
This implies that,