Question

part 2
what is the measure of the missing angle?
45 degrees.
(b) image of two parallel lines cut by a transversal, with one angle marked 110° and the missing angle marked?

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines are cut by a transversal, the consecutive interior angles are supplementary (sum to \(180^{\circ}\)). Let the missing angle be \(x\).

Step2: Set up the equation

We know that \(x + 110^{\circ}=180^{\circ}\) (consecutive - interior angles).

Step3: Solve for \(x\)

Subtract \(110^{\circ}\) from both sides of the equation: \(x=180^{\circ}- 110^{\circ}\).

Answer:

\(70\)