Question

select the correct answer.
in the figure, a pair of parallel lines is cut by a transversal. what kind of angle are angles a and c?
a. corresponding angles
b. alternate interior angles
c. vertical angles
d. supplementary angles

Explanation:

• Corresponding angles: These are in the same relative position. Angles \(A\) and \(C\) are not in the same relative position.
• Alternate interior angles: These are between the two parallel lines and on opposite sides of the transversal. Angles \(A\) and \(C\) are not between the two parallel lines.
• Vertical angles: These are opposite each other when two lines intersect. Angles \(A\) and \(C\) are formed by the intersection of two lines (\(q\) and \(r\)), and they are opposite each other.
• Supplementary angles: These add up to \(180^{\circ}\). There is no indication from the problem - statement that \(A + C=180^{\circ}\) based on the angle - type (without knowing their measures).

Answer:

C. vertical angles