Lines l and m are parallel. If m∠2 = 35 degrees and m∠3 = 4x - 13, then what is the value of x? 12 35 11/2
Mathematics · College · Thu Feb 04 2021
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If lines l and m are parallel, the corresponding angles formed when a transversal cuts through parallel lines are equal in measure.
Given: - m∠2 = 35 degrees (presuming ∠2 is a corresponding angle to ∠3 on the parallel lines and a transversal) - m∠3 = 4x - 13
Since the lines are parallel, m∠2 is equal to m∠3: 35 degrees = 4x - 13
Now, let's solve for 'x':
Add 13 to both sides of the equation to isolate the term with 'x': 35 + 13 = 4x - 13 + 13 48 = 4x
Divide both sides by 4 to solve for 'x': 48 / 4 = 4x / 4 12 = x