Question

if m∠3 = 111, what is m∠14? (not drawn to scale) a 69 b 111 c 90 d 21

Explanation:

Step1: Identify angle - pair relationship

$\angle3$ and $\angle11$ are corresponding angles. Since the lines are parallel (implied by the trans - versal setup), $m\angle3=m\angle11 = 111^{\circ}$.

Step2: Identify vertical - angle relationship

$\angle11$ and $\angle14$ are vertical angles. Vertical angles are congruent. So $m\angle14=m\angle11$.

Answer:

B. 111