Question

lines m and n are parallel. ∠7 is 138°. name all other angles that are equal to 138°. 8.g.5

Explanation:

Step1: Vertical angles

Vertical angles are equal. $\angle7$ and $\angle2$ are vertical angles. So $\angle2 = 138^{\circ}$.

Step2: Corresponding angles

Corresponding angles are equal when two parallel lines are cut by a transversal. $\angle7$ and $\angle3$ are corresponding angles. So $\angle3 = 138^{\circ}$.

Step3: Vertical angles again

$\angle3$ and $\angle6$ are vertical angles. So $\angle6 = 138^{\circ}$.

Answer:

$\angle2,\angle3,\angle6$