
Which statement is true about the given information?

∠CED measures 45°.

∠CED measures 180°.

∠AEC measures 90°.

∠AEC measures 45°.

To determine the correct statement based on the given information, let's analyze each option carefully.

1. **\( \angle CED \) measures 45°**:
   - \( \angle CED \) refers to the angle formed by points \( C \), \( E \), and \( D \). If the diagram or given information states that this is a 45-degree angle, then this could be true. However, without the diagram or other information explicitly stating this, it's uncertain.
   - **This could be true depending on the diagram.**

2. **\( \angle CED \) measures 180°**:
   - If \( \angle CED \) is a straight angle (i.e., formed by a straight line), then it would measure 180 degrees. If points \( C \), \( E \), and \( D \) are collinear, this statement is true.
   - **This could be true if the points are collinear.**

3. **\( \angle AEC \) measures 90°**:
   - \( \angle AEC \) refers to the angle formed by points \( A \), \( E \), and \( C \). If this angle is a right angle (i.e., 90 degrees), the statement would be true. If there is no indication that this is a right angle, this statement would be false.
   - **This could be true if it's a right angle.**

4. **\( \angle AEC \) measures 45°**:
   - Similarly, if \( \angle AEC \) is specifically given as a

Which statement is true about the given information? ∠CED measures 45°. ∠CED measures 180°. ∠AEC measures 90°. ∠AEC measures 45°.

This problem focuses on identifying the correct angle measures for ∠CED and ∠AEC. Learn to analyze angle relationships, including straight and right angles, based on geometric principles. Suitable for students in Grades 6-8.

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