Answer:
85 degrees.
Step-by-step explanation:
From the diagram, it is clearly visible that the angle ∠ABC is formed by intersections of two chords AE and CD of the circle.
We know the following formula for angles formed in circles:-
Angle formed by two intersecting chords of a circle = Half the sum of intersecting arcs.
∠ABC = 1/2 * (arcAC + arcDE)
From the diagram, arcAC = 130 degrees, and arcDE = 40 degrees.
so ∠ABC = 1/2 * (130° + 40°) = 1/2 * 170° = 85°.
Hence. option B is correct, i.e. 85 degrees.
