Answer:
Step-by-step explanation:
Given:It is given that Chords AB and CD intersect each other at point E.
To find: The measure of ∠BEC.
Construction: Join AC.
Solution:
It is given that Chords AB and CD intersect each other at point E.
Now, we know that the inscribed angle is the half of the intercepted arc, thus
And,
Now, in ΔAEC, we have
(Angle sum property of triangles)
Also, using the straight line property, we have
Therefore, the measure of is .