Question

1. which is not a pair of congruent angles in the diagram below? ∠aeb≅∠dcb ∠eab≅∠cdb ∠aeb≅∠cdb ∠abe≅∠dbc

Explanation:

Step1: Identify vertical angles

Vertical - angles are congruent. $\angle AEB$ and $\angle DBC$ are vertical - angles, so $\angle AEB\cong\angle DBC$.

Step2: Consider angle - marking

The triple - arc marked angles are congruent. $\angle EAB\cong\angle DCB$ and $\angle ABE\cong\angle DBC$ (from step 1). Also, $\angle AEB$ and $\angle DCB$ are not congruent as they are not marked as such and there is no reason from the given diagram to suggest they are congruent.

Answer:

A. $\angle AEB\cong\angle DCB$