Question

if m∠2 = 112, what is m∠7? m∠7 =

Explanation:

Step1: Identify angle - relationship

$\angle2$ and $\angle4$ are vertical angles, so $m\angle4 = m\angle2=112^{\circ}$.

Step2: Use corresponding - angle property

$\angle4$ and $\angle7$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent. So $m\angle7=m\angle4$.

Answer:

$112^{\circ}$