Question

which angles are vertical to each other? ∠edc and ∠hdi ∠aeb and ∠hdi ∠dea and ∠hdi ∠cdh and ∠hdi

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 option

• For $\angle EDC$ and $\angle HDI$, they are not formed by the intersection of the same two - line pairs.
• For $\angle AEB$ and $\angle HDI$, they are not vertical angles as they are not formed by the intersection of the same two - line pairs.
• For $\angle DEA$ and $\angle HDI$, they are vertical angles. They are formed by the intersection of lines $AB$ and $HI$ and are opposite each other.
• For $\angle CDH$ and $\angle HDI$, they are adjacent angles, not vertical angles.

Answer:

$\angle DEA$ and $\angle HDI$