Question

find the value of x. (5x - 15)° 45°

Explanation:

Step1: Identify angle - relationship

Assume the two angles are corresponding angles (since the lines appear parallel and the angles are in corresponding positions), and corresponding angles are equal. So we set up the equation $5x - 15=45$.

Step2: Solve the equation for x

Add 15 to both sides of the equation: $5x-15 + 15=45 + 15$, which simplifies to $5x=60$.

Step3: Isolate x

Divide both sides of the equation $5x = 60$ by 5: $\frac{5x}{5}=\frac{60}{5}$, so $x = 12$.

Answer:

$x = 12$