Question

Which segment is both a chord and a diameter? segment PLEASE HELP ME!!!!

Answer 1

Answer: The measure of angle AEC is 105°.

Step-by-step explanation: Given that in the circle shown in the figure, AB and CD are two chords intersecting at the point E.

And, m∠DEB = 105°.

We are to find the measure of angle AEC.

We can see from the figure that

∠DEB and ∠AEC are vertically opposite angles.

Since the measures of vertically opposite angles are equal, so we must have

`m\angle DEB=m\angle AEC.`

Since, m∠DEB = 105°, so we get

m∠AEC = 105°.

Thus, the measure of angle AEC is 105°.

Answer 2

∠AEC = 105°

Explanation:

If two chords intersect each other in a circle then the vertical angles formed are equal.

In this question two chords AB and CD intersect each other at point E then ∠DEB and ∠AEC are vertical angles which are equal.

Therefore ∠DEB = ∠AEC

Here m∠DEB = 105°

Then m∠AEC = 105° ( by Theorem)

Therefore the correct answer is ∠AEC = 105°