Question

two parallel lines are cut by a transversal as shown below.
suppose $m\angle 2=96^\circ$. find $m\angle 5$ and $m\angle 7$.
$m\angle 5=\square^\circ$
$m\angle 7=\square^\circ$

Explanation:

Step1: Find m∠5 (corresponding angles)

Corresponding angles are equal. $\angle 2$ and $\angle 5$ are corresponding angles, so $m\angle 5 = m\angle 2 = 96^\circ$.

Step2: Find m∠7 (vertical angles)

Vertical angles are equal. $\angle 5$ and $\angle 7$ are vertical angles, so $m\angle 7 = m\angle 5 = 96^\circ$.

Answer:

$m\angle 5 = 96^\circ$
$m\angle 7 = 96^\circ$