Question

determine the value of x for which r // s if

• m∠1 = 60 - 2x, and
• m∠2 = 70 - 4x.

Explanation:

Step1: Set angles equal

Since $r\parallel s$, $\angle1$ and $\angle2$ are corresponding angles and are equal. So we set up the equation $60 - 2x=70 - 4x$.

Step2: Add $4x$ to both sides

$60 - 2x+4x=70 - 4x+4x$, which simplifies to $60 + 2x=70$.

Step3: Subtract 60 from both sides

$60 + 2x-60=70 - 60$, resulting in $2x = 10$.

Step4: Solve for $x$

Divide both sides by 2: $\frac{2x}{2}=\frac{10}{2}$, so $x = 5$.

Answer:

5