Question

solve for x.
(25x + 33)°
(20x + 53)°
x =

Explanation:

Step1: Identify angle - relationship

Since the two angles $(25x + 33)^{\circ}$ and $(20x+53)^{\circ}$ are corresponding angles (assuming the two vertical lines are parallel), they are equal. So we set up the equation $25x + 33=20x + 53$.

Step2: Isolate the variable terms

Subtract $20x$ from both sides of the equation: $25x-20x + 33=20x-20x + 53$, which simplifies to $5x+33 = 53$.

Step3: Isolate the variable

Subtract 33 from both sides: $5x+33 - 33=53 - 33$, getting $5x=20$.

Step4: Solve for x

Divide both sides by 5: $\frac{5x}{5}=\frac{20}{5}$, so $x = 4$.

Answer:

$4$