Question

given that the two horizontal lines are parallel, identify all the numbered angles that are congruent to the given angle. list the numbers of any angles that are congruent to the given angle. (use a comma to separate answers as needed. do not include the ∠ symbol in your answer)

Explanation:

Step1: Vertical angles

Vertical angles are congruent. So, angle \(1\) is congruent to the given \(17^{\circ}\) angle (since they are vertical angles).

Step2: Corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are congruent. The given \(17^{\circ}\) angle and angle \(6\) are corresponding angles.

Step3: Alternate - interior angles

Angle \(6\) and angle \(7\) are vertical angles. Since angle \(6\) is congruent to the given angle, angle \(7\) is also congruent.

Answer:

\(1,6,7\)