Geometry

Question Analysis

This question involves the understanding of different angle relationships formed by intersecting lines.

Key Concept Explanation

Vertical Angles: Formed when two lines intersect, they are opposite each other and have equal measures.

Linear Pair: Adjacent angles that share a common vertex and a common side, with non - common sides forming a straight line and the sum of the angles equal to 180°.

Complementary Angles: Two angles whose sum is 90°.

Adjacent Angles: Angles that have a common vertex and a common side.

Step - by - Step Solution

1. Analyze the position of ∠b and ∠c:

D.∠b and ∠c share a common vertex and a common side. So, they are adjacent angles.

A.They are not vertical angles because they are next to each other, not opposite at the intersection of the lines.

B.Their non - common sides do not form a straight line, so they are not a linear pair.

C.There is no indication that their sum is 90°, so they are not complementar...