Question

which are vertical angles? check all that apply
□ \\( \angle eab \\) and \\( \angle bac \\)
□ \\( \angle eab \\) and \\( \angle cad \\)
□ \\( \angle cad \\) and \\( \angle fae \\)
□ \\( \angle cab \\) and \\( \angle dae \\)
□ \\( \angle dac \\) and \\( \angle dae \\)

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are pairs of opposite angles formed by two intersecting lines.

Step2: Analyze each option

• For $\angle EAB$ and $\angle BAC$: They are adjacent angles, not vertical angles.
• For $\angle EAB$ and $\angle CAD$: They are opposite angles formed by the intersection of two lines, so they are vertical angles.
• For $\angle CAD$ and $\angle FAE$: They are not opposite angles formed by the intersection of two lines.
• For $\angle CAB$ and $\angle DAE$: They are opposite angles formed by the intersection of two lines, so they are vertical angles.
• For $\angle DAC$ and $\angle DAE$: They are adjacent angles, not vertical angles.

Answer:

• $\angle EAB$ and $\angle CAD$
• $\angle CAB$ and $\angle DAE$