Question

Find the value of x for which the lines l and m are parallel. Choices are in the attachment.. (disregard the filled in answer)

Answer 1

Answer: Choice B) 13

You chose the correct answer.

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Step-by-step explanation:

Lines M and L are only parallel if and only if the corresponding angles are congruent.

The angles 127 and (9x+10) degrees are corresponding angles. They are both on the same side of the transversal, and they are to the right of each parallel line.

Set the two angle expressions equal to one another. Solve for x

9x+10 = 127

9x = 127-10

9x = 117

x = 117/9

x = 13

Answer 2

x=13

Step-by-step explanation:

For the lines to be parallel, the angles would be equal

127 = 9x+10

Subtract 10 from each side

127 -10 = 9x+10-10

117 = 9x

Divide each side by 9

117/9 = 9x/9

13 =x