Question

if m∠2 is 5x + 4 degrees and m∠6 is 29°, what is x?

Explanation:

Step1: Identify angle - relationship

$\angle2$ and $\angle6$ are corresponding angles. If the lines $l$ and $m$ are parallel, then $m\angle2=m\angle6$.

Step2: Set up the equation

Since $m\angle2 = 5x + 4$ and $m\angle6=29^{\circ}$, we set up the equation $5x + 4=29$.

Step3: Solve the equation for $x$

Subtract 4 from both sides: $5x=29 - 4$, so $5x=25$. Then divide both sides by 5: $x=\frac{25}{5}=5$.

Answer:

$5$