Can anyone help me with the solution? I think it has something to do with inscribed angles? please help me out!!!

I think the point C is not mentioned as the centre hence we cannot proceed therefore the answer is D

So. Here goes my best answer.
Segments AD and EB are both diameters.
since Two diameters can only intersect at the center, then the intersections happen at right angles.
Thus, Angle C is 90 degrees.
segment AB is opposite angle C,
since any angle at the intersection of the circle is also 90 degrees, then any segment opposite any of those angles will be the same length as AB.

youre right!!!

Explanation of the solution to this question would be greatly appreciated.

This question, actually, does not need any kind of calculation. Only a good evaluation and observation up-front.

Inside the triangle ECD, you only do know that one angle is 40°. You do not know the other two angles. Therefore, the angle D could be smaller and the inclination of segment AE is less. The result is that AE is narrower and AE < AB. And Vice-versa.

Hope this helps.

Regards

If the question says 'C' is the center, then we can go further otherwise here clear 'D'.

Since we're not told if C is or is not the center of the circle, we can't infer anything about the arcs regardless of what we determine about the angles that are part of the figure portrayed within the circle.

The answer is D because you don't know if point C is the center of the circle or not. Because of this, you don't know if lines CE or CD is the radius and without that, the solution cannot be determined.

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