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Please help and give the explanation!!

Please help and give the explanation!!-example-1

2 Answers

7 votes

Answer:

x = 11

Explanation:

If A were parallel to B, alternate exterior angles would be congruent.

Equation:

5x + 9 = 6x - 2

9 + 2 = 6x - 5x

11 = x

Hope this helps!

Let me know if you clarification :)

User Lbenitesanchez
by
6.0k points
5 votes

Answer:

x = 11

Explanation:

If both lines were parallel, then the angles with labels would be alternate angles between parallel lines, which will make them equal in measure.

so the measure of one (5x+9) would equal the measure of the other one (6x-2) which in math terms becomes:

5 x + 9 = 6 x - 2

subtract 5x from both sides:

9 = x - 2

add 2 on both sides

x = 11

User MitoRibo
by
5.5k points