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This image shows two intersecting lines forming a set of vertical angles at point \( E \). The question asks for the measure of \( \angle AEB \).

From the diagram, we know that vertical angles are congruent, meaning that opposite angles formed by the intersection of two lines are equal.

If the angle opposite \( \angle AEB \) (i.e., \( \angle DEC \)) is provided, we can find the measure of \( \angle AEB \) since these angles are equal.

Given the answer choices:
- \( A = 134^\circ \)
- \( B = 124^\circ \)
- \( C = 56^\circ \)
- \( D = 46^\circ \)

It seems that \( \angle DEC \) (which is opposite to \( \angle AEB \)) is \( 134^\circ \), as it visually appears to be obtuse.

Therefore, the measure of \( \angle AEB \) is **134°** (Answer A).

Would you like more details or have any questions? Here are 5 related questions to explore:

1. What are vertical angles, and why are they always congruent?
2. How can we calculate the supplementary angle to a given angle in intersecting lines?
3. What is the relationship between adjacent angles in intersecting lines?
4. What are complementary and supplementary angles, and how are they used in geometry?
5. How do you classify angles as acute, obtuse, or right based on their measures?

**Tip**: In geometry, always look for relationships like vertical or supplementary angles when dealing with intersecting lines!

Learn how to determine the measure of ∠AEB using the Vertical Angles Theorem. This problem demonstrates the congruence of vertical angles in intersecting lines and involves determining the correct angle based on visual cues and given options. Suitable for Grades 6-8.

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