Question

two parallel lines are cut by a transversal as shown below. suppose m∠5 = 103°. find m∠2 and m∠4. m∠2 = m∠4 =

Explanation:

Step1: Identify angle - relationships

$\angle5$ and $\angle2$ are alternate - exterior angles. Since the two lines are parallel, alternate - exterior angles are congruent. So $m\angle2=m\angle5 = 103^{\circ}$.

Step2: Identify another angle - relationship

$\angle5$ and $\angle4$ are corresponding angles. Since the two lines are parallel, corresponding angles are congruent. So $m\angle4=m\angle5 = 103^{\circ}$.

Answer:

$m\angle2 = 103^{\circ}$
$m\angle4 = 103^{\circ}$