Question

1. line a is parallel to line b, m∠2 = 4x + 44, and m∠6 = 6x + 36. find the value of x. -5 4 6 5

Explanation:

Step1: Identify angle relationship

Since line a is parallel to line b, ∠2 and ∠6 are corresponding angles and are equal. So we set up the equation $4x + 44=6x + 36$.

Step2: Isolate x - terms

Subtract $4x$ from both sides: $44 = 6x-4x + 36$, which simplifies to $44=2x + 36$.

Step3: Isolate the constant

Subtract 36 from both sides: $44 - 36=2x$, so $8 = 2x$.

Step4: Solve for x

Divide both sides by 2: $x=\frac{8}{2}=4$.

Answer:

4