Question

if segment \\(\overline{ac}\\) is a diameter, what is the measure of \\(\angle aed\\)?
enter the answer in the space provided. use numbers instead of words.

Explanation:

Step1: Identify congruent segments

We see $DE = EB$ and $AC$ (diameter) intersects $DB$ at $E$. Also, $AC$ is a line through the center $O$, so it is the perpendicular bisector of chord $DB$.

Step2: Determine angle type

Since $AC$ is the perpendicular bisector of $DB$, $\angle AED$ is a right angle.

Step3: Assign right angle measure

A right angle has a measure of $90^\circ$.

Answer:

90