Question

which statement is true about the given information?
∠ced measures 45°.
∠ced measures 180°.
∠aec measures 90°.
∠aec measures 45°.

Explanation:

Step1: Recall the definition of a right angle

A right angle is an angle that measures \(90^{\circ}\). In the given diagram, \(\angle AEC\) is marked with a right - angle symbol.

Step2: Analyze each option

• For \(\angle CED\): There is no indication (such as a bisector or specific markings) that \(\angle CED = 45^{\circ}\). Also, since \(C\) is a single point on the vertical line and \(E\) is a common vertex, \(\angle CED\) is not a straight angle (\(180^{\circ}\)) because the lines forming \(\angle CED\) are not opposite rays.
• For \(\angle AEC\): The right - angle symbol at \(E\) between the horizontal line \(AD\) and the vertical line \(CE\) implies that \(\angle AEC=90^{\circ}\). There is no indication that \(\angle AEC = 45^{\circ}\).

Answer:

\(\angle AEC\) measures \(90^{\circ}\)