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15 votes
15 votes
Prove: Quadrilateral ABCD is a parallelogram.

m∠AEB = m∠CED

User Avi Avraham
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1 Answer

7 votes
7 votes

Answer:

m∠ AEB = m∠ CED ......... By Vertical Angles Theorem.

Explanation:

Vertical Angles Theorem: Vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersecting lines, are congruent. If two lines intersect each other, we have the two pair of vertical opposite angles. As shown in the figure. Here, ∠ 1 and ∠ 2 are vertical opposite angles, and also they are equal. ∠ 3 and ∠ 4 are also vertical opposite angles, and also they are equal. For, step 3. m∠ AEB = m∠ CED Therefore, the reason for this proof is Vertical Angles Theorem.

User Kyle Weller
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