Question

Angles K and D are what kind of angle pair?

Answer 1

The angles K and D shown in the parallel line cut by a transversal are same side interior angles (option B)

How to determine the relationship of angle K and D

To determine the correct answer to the question, we shall apply the transversal theorem. This is shown below:

According to the transversal theorem, the following are observed from the diagram provided:

• Angle A + Angle B = 180 (angle on a straight line)
• Angle A + Angle K = 180 (angle on a straight line)
• Angle K + Angle C = 180 (angle on a straight line)
• Angle B + Angle C = 180 (angle on a straight line)
• Angle A = Angle C (vertically opposite angles)
• Angle K = Angle B (vertically opposite angles)
• Angle C = Angle D (alternate angles)
• Angle K = Angle D (same side interior angles)
• Angle A = Angle D (corresponding angles)

From the above information, we can see that angle K and angle D are same side interior angles

Thus, the correction answer is option B

Answer 2

corresponding angles

Explanation:

A and D are in the same position relative to the transversal and the parallel lines. That makes them corresponding angles