Question

line p is parallel to line q, and line r is a transverse. which angle in the diagram is corresponding to angle 1?
a angle 4
b angle 2
c angle 5
d angle 3

Explanation:

Step1: Recall corresponding angles definition

Corresponding angles are pairs of angles that are in the same relative position at each intersection where a straight line crosses two others.

Step2: Analyze each option

• Angle 4: It is adjacent to angle 1, not in corresponding position.
• Angle 2: It is vertical - opposite to angle 1, not corresponding.
• Angle 5: When line \(P\parallel Q\) and \(R\) is a transversal, angle 1 and angle 5 are in the same relative position (upper - left at their respective intersections), so they are corresponding angles.
• Angle 3: It is adjacent to angle 5 (on the same side of the transversal and between the two parallel lines), not corresponding to angle 1.

Answer:

C. angle 5