Question

in this figure, \\(\overline{ab} \parallel \overline{cd}\\) and \\(m\angle 4 = 30^{\circ}\\). what is \\(m\angle 8\\)? enter your answer in the box.

Explanation:

Step1: Relate ∠4 and ∠5

∠4 and ∠5 are corresponding angles (AB∥CD), so m∠5 = m∠4 = 30°.

Step2: Relate ∠5 and ∠8

∠5 and ∠8 are vertical angles, so m∠8 = m∠5 = 30°.

Answer:

30°