Which angle is vertical to DEA?

Question 1

Question 2

Answer:

$\large\boxed{\tt \angle BEC}$

Explanation:

$\textsf{We are asked for which angle is \underline{Vertical} to} \ \tt \angle DEA.$

$\large\underline{\textsf{What are Vertical Angles?}}$

$\textsf{Vertical Angles are 2 angles that are opposite from each other, and are formed}$

$\textsf{by the same intersecting lines. Vertical Angles also have to share a common Vertex.}$

$\textsf{*Vertical Angles are also congruent to each other.}$

$\large\underline{\textsf{What is a Vertex?}}$

$\textsf{A Vertex marks the point where 2 lines intersect. This is the point where angles}$

$\textsf{are formed.}$

$\large\underline{\textsf{Finding the Vertical Angle;}}$

$\textsf{Our primary focus should be} \ \tt \angle DEA. \ \textsf{Remember that Vertical Angles are primarily angles}$

$\textsf{opposite from each other. This only leaves one option which is} \ \tt \angle BEC. \ \textsf{Note how}$

$\textsf{both angles are opposite from each other, and they share a common vertex point.}$

$\textsf{Lastly, they are formed by the same intersecting lines, which guarantees they're}$

$\textsf{vertical angles.}$

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