Question

Lines m and n are parallel. Find the value of x.

(3x – 1)º and (2x + 44)°
A) x = 15
B) x = 30
C) x = 45
D) x = 60

Answer 1

By setting the angle expressions equal due to the lines being parallel, we find x = 45, which is option C.

Step-by-step explanation:

The question involves finding the value of x given that lines m and n are parallel. The angle expressions provided are (3x – 1)° and (2x + 44)°. Since the lines are parallel, we can infer that these angles are congruent due to the Parallel Postulate, which states that corresponding angles are equal when a transversal crosses parallel lines.

To solve for x, we set the expressions equal to each other: 3x - 1 = 2x + 44. Solving for x gives us:

• 3x - 2x = 44 + 1
• x = 45

Therefore, the correct answer is x = 45, which matches option C.