Question

if lines l and m are parallel, find the value of x. (8x + 20)° (11x - 31)° x = type your answer...

Explanation:

Step1: Use the property of parallel lines

When two parallel lines are cut by a transversal, the alternate interior angles are equal. So, \(8x + 20=11x - 31\).

Step2: Solve the equation for \(x\)

Subtract \(8x\) from both sides: \(20 = 3x-31\).
Add \(31\) to both sides: \(20 + 31=3x\), i.e., \(51 = 3x\).
Divide both sides by \(3\): \(x=\frac{51}{3}\).

Answer:

\(17\)