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 !!
#CarryOnLearning....
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<u>Answer:</u>
Heather = 18 messages
Brian = 25 messages
Austin = 54 messages
<u>Step-by-step explanation:</u>
We know that Heather, Brian, and Austin sent a total of 97 messages.
Assuming the number of messages sent by Brian as x, we can say that Heather sent x-7 messages (7 fewer messages than Brian) and Austin sent 3(x-7) messages (3 times as many as Heather).
So Brian sent (x) messages = 25 messages,
Heather sent (x-7) messages = 25 - 7 = 18 messages; and
Austin sent 3(x-7) messages = 3(25-7) = 54 messages