Answer:
point E is the midpoint of DB.
Explanation:
m/AEB - m/DEC = m/AED - m/BEC: This is because of the Vertical Angle Postulate, which states that when two lines intersect, the vertical angles formed are congruent. m/BEC + m/CED = 180°: This is because of the Linear Pair Postulate, which states that if two angles form a linear pair, their measures add up to 180 degrees.
m/AEB + m/BEC = 180°: This is also because of the Vertical Angle Postulate. The angles formed by the intersecting lines are vertical angles, and vertical angles are congruent. m/DEA + m/AEB = 180°: This is because of the Linear Pair Postulate. The angle DEA and the angle AEB form a linear pair, so their measures add up to 180 degrees.
Additionally, from the given congruent markings, we can determine that DE is congruent to EB. This is because of the definition of a midpoint. A midpoint divides a line segment into two equal parts.
hope it helped , darling !
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