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find the value of x so that l || m. stage the converse used. (10x + 17°) 87° (5x)°

Sagot :

akposevictor

The value of x is 14.

The converse used is: converse of of alternate interior angles theorem

Recall:

Based on the converse of of alternate interior angles theorem, two lines are parallel if a the two alternate interior angles formed when a transversal cuts through them are congruent.

Therefore, for lines l and m to be congruent, the following equation would be true:

[tex](5x) + 87 = (10x + 17)[/tex]

Solve for the value of x:

[tex]5x + 87 = 10x + 17\\[/tex]

Collect like terms

[tex]5x-10x = -87 + 17\\-5x = -70\\[/tex]

Divide both sides by - 5

[tex]x = 14[/tex]

Therefore, the value of x = 14.

The converse used is: Converse of alternate interior angles theorem

Learn more here:

https://brainly.com/question/10565830

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