Question

problem 2
two parallel lines are crossed by a transversal.
select all the angles that are congruent to angle a.

Explanation:

Step1: Identify vertical angles

Vertical angles are congruent. Angle \(a\) and angle \(c\) are vertical angles, so \(a = c\).

Step2: Identify alternate - interior angles

Since the two lines are parallel and cut by a transversal, alternate - interior angles are congruent. Angle \(a\) and angle \(e\) are alternate - interior angles, so \(a = e\).

Step3: Identify vertical angles for \(e\)

Angle \(e\) and angle \(g\) are vertical angles. Since \(a = e\) and \(e = g\), then \(a = g\).

Answer:

\(c\), \(e\), \(g\)