Question

which statements can be used to describe an angle? a consisting of two lines that cross. b a part of a line having two endpoints. c has a common endpoint called a vertex. d two rays diverging from a common point. e two lines in the same plane that do not intersect.

Explanation:

• An angle is formed by two rays (not just any two lines) with a common endpoint (vertex).
• Option A: Two crossing lines don't necessarily form an angle in the strict geometric sense (could be just intersecting lines without the angle - forming structure).
• Option B: Describes a line - segment, not an angle.
• Option C: Correct as the vertex is the common endpoint of the two rays forming the angle.
• Option D: Correct as two rays diverging from a common point (vertex) form an angle.
• Option E: Describes parallel lines, not an angle.

Answer:

C. Has a common endpoint called a vertex; D. Two rays diverging from a common point.