For what value of x is line m parallel to line n? This is quite urgent.

Mathematics

1 answer:

pishuonlain [190]3 years ago

6 0

Answer:

Step-by-step explanation:

Line m and n are parallel lines cut by the transversal (without name). So, angles with measures $65^{\circ}$ and $(3x+5)^{\circ}$ are corresponding angles.

The Corresponding Angles Theorem states if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Hence,

$3x+5=65\\ \\3x+5-5=65-5\\ \\3x=60\\ \\x=\dfrac{60}{3}\\ \\x=20$

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