Geometry

Question Analysis

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

Key Concept Explanation

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

Linear Pair: Adjacent angles (sharing a common vertex and a common side) whose non - common sides form a straight line. The sum of angles in a linear pair is 180°.

Complementary Angles: Two angles whose sum is 90°.

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

Step - by - Step Solution

1. Examine the position of ∠b and ∠d:

∠b and ∠d are formed by the intersection of two lines.

A.They are opposite each other with respect to the intersection point. So, they meet the definition of vertical angles.

B.They are not a linear pair because they are not adjacent in the way required for a linear pair (non - common sides do not form a straight line).

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

D.While they share a common vert...