Question

start up: find the value of x. 58° (5x - 2)°

Explanation:

Step1: Identify angle - relationship

Assume the two angles are corresponding angles (since the lines appear parallel). Corresponding angles are equal. So, $5x - 2=58$.

Step2: Solve the equation for x

Add 2 to both sides of the equation: $5x=58 + 2$, so $5x=60$.

Step3: Isolate x

Divide both sides by 5: $x=\frac{60}{5}$.

Answer:

$x = 12$