Question

given m∠3=(3x + 2)° and m∠7 = 104°, find the value of x so that l || m
x =

Explanation:

Step1: Identify angle - relationship

When $l\parallel m$, $\angle3$ and $\angle7$ are corresponding angles, so $m\angle3 = m\angle7$.

Step2: Set up the equation

We have the equation $3x + 2=104$.

Step3: Solve for x

Subtract 2 from both sides: $3x=104 - 2=102$. Then divide both sides by 3: $x=\frac{102}{3}=34$.

Answer:

$34$