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Good Evening, Happy Valentine's Day Hi, can you please help with my math problem? Thanks for the help. Have a lovely day. Have a great Sunday. Please help me and explain the answer to problem 2?

Good Evening, Happy Valentine's Day Hi, can you please help with my math problem? Thanks-example-1

1 Answer

4 votes

In the given figure:


\begin{gathered} AE=BE \\ \angle1\cong\angle2 \end{gathered}

Angles 3 and 4 are vertical angles, therefore, they are congruent.

Thus, triangles ACE and BDE are congruent by AA Congruence Theorem.

Since one pair of sides (AE and BE) is equal, it means all the other corresponding sides are also equal

Therefore:


CE\cong DE

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