which are vertical angles? check all that apply. ∠eab and ∠bac ∠eab and ∠cad ∠cad and ∠fae ∠cab and ∠dae…
which are vertical angles? check all that apply. ∠eab and ∠bac ∠eab and ∠cad ∠cad and ∠fae ∠cab and ∠dae ∠dac and ∠dae
Answer
Explanation:
Step1: Recall vertical - angle definition
Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.
Step2: Analyze each pair
- $\angle EAB$ and $\angle BAC$ share a common side, so they are not vertical angles.
- $\angle EAB$ and $\angle CAD$ are vertical angles as they are formed by the intersection of two lines and are opposite each other.
- $\angle CAD$ and $\angle FAE$ are vertical angles as they are formed by the intersection of two lines and are opposite each other.
- $\angle CAB$ and $\angle DAE$ are vertical angles as they are formed by the intersection of two lines and are opposite each other.
- $\angle DAC$ and $\angle DAE$ share a common side, so they are not vertical angles.
Answer:
$\angle EAB$ and $\angle CAD$, $\angle CAD$ and $\angle FAE$, $\angle CAB$ and $\angle DAE$