Question

1. find the value of x for which (ell parallel m).

144
54
134
59

Explanation:

Step1: Use the property of parallel lines

When \( l\parallel m \), the angles \((3x - 33)^{\circ}\) and \((2x + 26)^{\circ}\) are alternate - interior angles. Alternate - interior angles are equal. So, \(3x-33 = 2x + 26\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides of the equation \(3x-33 = 2x + 26\).
\(3x-2x-33=2x-2x + 26\)
\(x-33=26\)
Add 33 to both sides: \(x-33 + 33=26+33\)

Answer:

\(x = 59\)