Question

question 6 of 45 using the diagram below, which of the following parts of the triangles are congruent? given: 1. △cab - △ced 2. ab || ed a. ∠a≅∠e b. ∠a≅∠d c. ∠a≅∠b d. ∠a≅∠c

Explanation:

Step1: Recall parallel - line angle properties

Since \(AB\parallel ED\), corresponding angles are congruent. In the given parallel - line situation with transversals \(AD\) and \(BE\), \(\angle A\) and \(\angle D\) are corresponding angles.

Step2: Analyze angle congruence

Corresponding angles formed by two parallel lines and a transversal are congruent. So, \(\angle A\cong\angle D\).

Answer:

B. \(\angle A\cong\angle D\)