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Sagot :
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
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