Geometry

Question Analysis

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

Key Concept Explanation

Vertical Angles: Angles formed when two lines intersect, opposite each other and equal in measure.

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

Complementary Angles: Two angles whose sum is 90°.

Obtuse Angles: Angles with a measure greater than 90° and less than 180°.

Step - by - Step Solution

1. Examine the position of ∠a and ∠e:

∠a and ∠e are adjacent as they share a common vertex and a common side.

B.Their non - common sides form a straight line. So, they meet the criteria for a linear pair.

A.They are not vertical angles since they are adjacent, not opposite each other.

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

D.We can't determine if they are obtuse just from their relation...