Question

consider the angles. which of the following is a pair of adjacent angles? o ∠abd and ∠abf o ∠abd and ∠abc o ∠abf and ∠ebd o ∠abc and ∠ebf

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles have a common vertex and a common side, and no interior points in common.

Step2: Analyze each option

• For $\angle ABD$ and $\angle ABF$: They have a common vertex $B$ and a common side $AB$, and no interior - points in common.
• For $\angle ABD$ and $\angle ABC$: They overlap in their interiors, so they are not adjacent.
• For $\angle ABF$ and $\angle EBD$: They do not have a common side, so they are not adjacent.
• For $\angle ABC$ and $\angle EBF$: They do not have a common side, so they are not adjacent.

Answer:

$\angle ABD$ and $\angle ABF$