Question

if (lparallel mparallel n), find the value of (x). (8x - 11)° (7x + 8)°

Explanation:

Step1: Use property of parallel lines

Since \(l\parallel m\parallel n\), the angles \((8x - 11)^{\circ}\) and \((7x + 8)^{\circ}\) are equal (corresponding - angles or alternate - interior angles depending on the transversal, for parallel lines, such angles are congruent). So we set up the equation \(8x-11 = 7x + 8\).

Step2: Solve the equation for \(x\)

Subtract \(7x\) from both sides of the equation: \(8x-7x-11=7x - 7x+8\), which simplifies to \(x-11 = 8\). Then add 11 to both sides: \(x-11 + 11=8 + 11\).

Answer:

\(x = 19\)