Question

determine whether each angle is a central angle or an inscribed angle.

	central angle	inscribed angle
∠cdb
∠cde
∠cad

Explanation:

Step1: Recall definitions

A central - angle has its vertex at the center of the circle, and an inscribed - angle has its vertex on the circle.

Step2: Analyze ∠CAB

The vertex A is on the circle. So, ∠CAB is an inscribed angle.

Step3: Analyze ∠CDB

The vertex D is at the center of the circle. So, ∠CDB is a central angle.

Step4: Analyze ∠CDE

The vertex D is at the center of the circle. So, ∠CDE is a central angle.

Step5: Analyze ∠CAD

The vertex A is on the circle. So, ∠CAD is an inscribed angle.

Answer:

∠CAB: Inscribed angle
∠CDB: Central angle
∠CDE: Central angle
∠CAD: Inscribed angle