Question

given the diagram shown here, if m∠1 = 106°, what is m∠2?
○m∠2 = 74°
○m∠2 = 104°
○m∠2 = 106°
○m∠2 = 116°

Explanation:

Step1: Identify angle - relationship

$\angle1$ and $\angle2$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine the measure of $\angle2$

Since $\angle1 = 106^{\circ}$ and $\angle1\cong\angle2$, then $m\angle2 = 106^{\circ}$.

Answer:

$m\angle2 = 106^{\circ}$