Question

if line m || line n and ∠2 measures 35°, what is the measure of ∠5?
155°
55°
145°
180°

Explanation:

Step1: Identify vertical - angle relationship

$\angle2=\angle4 = 35^{\circ}$ (vertical angles are equal)

Step2: Identify corresponding - angle relationship

$\angle4=\angle6 = 35^{\circ}$ (corresponding angles for $m\parallel n$)

Step3: Use linear - pair property

$\angle5+\angle6 = 180^{\circ}$ (linear - pair of angles)

Step4: Solve for $\angle5$

$\angle5=180^{\circ}-\angle6=180 - 35=145^{\circ}$

Answer:

C. $145^{\circ}$