Question

what must be the value of x so that lines c and d are parallel lines cut by transversal p? (3x + 45) 81° 12 18 81 99

Explanation:

Step1: Use corresponding - angles property

When two parallel lines are cut by a transversal, corresponding angles are equal. So, \(3x + 45=81\).

Step2: Solve for \(x\)

Subtract 45 from both sides of the equation: \(3x=81 - 45\), so \(3x = 36\). Then divide both sides by 3: \(x=\frac{36}{3}=12\).

Answer:

A. 12