Question

find the value of x. (x + 63)° (4x)°

Explanation:

Step1: Identify angle - relationship

The two angles $(x + 63)^{\circ}$ and $(4x)^{\circ}$ are corresponding angles, and for parallel lines, corresponding angles are equal. So we set up the equation $x + 63=4x$.

Step2: Solve the equation

Subtract $x$ from both sides: $63 = 4x-x$.
Simplify the right - hand side: $63 = 3x$.
Divide both sides by 3: $x=\frac{63}{3}=21$.

Answer:

$21$