Question

solve for x.
(5x + 29)°
(9x - 7)°
x =

Explanation:

Step1: Identify angle - relationship

Assume lines $CD$ and $EF$ are parallel, and $AB$ is a transversal. Then, $(5x + 29)^{\circ}$ and $(9x-7)^{\circ}$ are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal. So, $5x + 29=9x - 7$.

Step2: Solve the equation for $x$

First, move the $x$ - terms to one side and the constants to the other side. Subtract $5x$ from both sides: $29=9x - 5x-7$.
This simplifies to $29 = 4x-7$.
Then, add 7 to both sides: $29 + 7=4x$, so $36 = 4x$.
Finally, divide both sides by 4: $x=\frac{36}{4}=9$.

Answer:

$9$