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Chapter 3: Q27. (page 115)

Name or state the postulate, definition, or theorem that justifies each statement about the diagram.

∠AED≅∠BEC

Short Answer

Expert verified

Theorem 2 – 3 is used to justify the above statement.

Step by step solution

01

Step 1. Find the vertical angles.

In the above figure, it can be observed that the angles ∠AEDand ∠BECare the vertical angles.

02

Step 2. Determine the theorem or postulate that can be used.

Theorem 2 – 3 states that the vertical angles are congruent.

03

Step 3. Apply the theorem.

Thus, by the Theorem 2 – 3, it can be said that the angles ∠AEDand∠BECare congruent.

That is, ∠AED≅∠BEC.

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