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

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

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

Answer

Answer:

C. $\angle AEC$ measures $90^{\circ}$.

Explanation:

Step1: Identify right - angle symbol

There is a right - angle symbol at $\angle CED$. So, $\angle CED = 90^{\circ}$.

Step2: Analyze $\angle AEC$

$\angle AEC$ and $\angle CED$ form a linear pair. A linear pair of angles is supplementary. Since $\angle CED=90^{\circ}$, and $\angle AEC+\angle CED = 180^{\circ}$, then $\angle AEC=180^{\circ}-\angle CED=180 - 90=90^{\circ}$.