Question

A horizontal line has points A , E, D. A line extends vertically from point E to point C and forms a right angle at C E D. A line extends up and to the left from point E to point B.

Which statement is true about the given information?

∠CED measures 45°.
∠CED measures 180°.
∠AEC measures 90°.
∠AEC measures 45°.

Answer 1

The answer is 90

Explanation:

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Answer 2

∠AEC measures 90°

Explanation:

Angle AED is a "straight angle", so angles AEC and CED are a linear pair. The angles of a linear pair are supplementary, so angle AEC is supplementary to right angle CED:

∠AEC = 180° -∠CED = 180° -90°

∠AEC = 90°