Final answer:
To find the value of x given that m||l and m<1 = 2x+44 and m<5 = 5x+38, set the equations equal since corresponding angles are equal, and solve for x. After simplifying, we find that x equals 2.
Step-by-step explanation:
Finding the Value of x in Parallel Lines
To find the value of x given that lines m and l are parallel and m<1 = 2x+44 and m<5 = 5x+38, we need to use the fact that corresponding angles are equal when two lines are parallel and cut by a transversal. This means that m<1 and m<5 are equal, so we can set the two equations equal to each other:
2x + 44 = 5x + 38
Now we solve for x:
- Subtract 2x from both sides: 44 = 3x + 38
- Subtract 38 from both sides: 6 = 3x
- Divide both sides by 3: x = 2
Therefore, the value of x is 2.