Discussion

Explanation:

In the given figure if we join AB then ∠ABC = 90°. [Angle subtended by diameter AC on circle is right angle.]

∴ ∠ABE + ∠EBC = 90°

⇒ ∠ABE = 90° - 45° = 45°

Now, if we consider chord AE, angle it subtends at point B on circle will be same as the angle it subtends at point C on the circle.

⇒ ∠ABE = ∠ACE = 45°

Now, AC and ED are parallel

⇒ ∠ACE = ∠CED  = 45° [alternate interior angles]

Hence, option (a).

» Your doubt will be displayed only after approval.


Doubts


Feedback

Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.


© 2024 | All Rights Reserved | Apti4All