Question

which two angles are supplementary? a ∠abe and ∠dbc b ∠abe and ∠ebd c ∠abd and ∠ebc d ∠abd and ∠dbc

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. In a straight - line, the sum of adjacent angles is 180 degrees.

Step2: Analyze the given angles

Since $\angle ABC$ is a straight - line, $\angle ABD+\angle DBC = 180^{\circ}$ because they are adjacent angles that form a straight - line.

Answer:

D. $\angle ABD$ and $\angle DBC$