Question

15 if a || b and m∠5 = 63°, find m∠3. a cannot be determined b 63° c 180° d 117

Explanation:

Step1: Identify angle - relationship

Since \(A\parallel B\), \(\angle5\) and \(\angle3\) are alternate - interior angles.

Step2: Apply parallel - line property

Alternate - interior angles formed by two parallel lines and a transversal are congruent. So \(m\angle3=m\angle5\).

Step3: Substitute the given value

Given \(m\angle5 = 63^{\circ}\), then \(m\angle3=63^{\circ}\).

Answer:

B. \(63^{\circ}\)