Question

solve for x.
(5x + 29)°
(9x - 7)°
x =

Explanation:

Step1: Identify angle - relationship

Assume lines $CD$ and $EF$ are parallel. Then, $\angle AGC$ and $\angle EHB$ are corresponding angles and are equal. So, $5x + 29=9x - 7$.

Step2: Rearrange the equation

Subtract $5x$ from both sides: $29 = 9x-5x - 7$.

Step3: Simplify the right - hand side

$29 = 4x-7$.

Step4: Add 7 to both sides

$29 + 7=4x$, so $36 = 4x$.

Step5: Solve for x

Divide both sides by 4: $x=\frac{36}{4}=9$.

Answer:

$9$