In the figure below, O is the centre of the circle and ∟EAD=40º,∟BCD=118º
A B
Woahh there, 8 consecutive posts without any effort on your part, or indication where your problems lie in this variety of problems.
Looks like a homework dump to me.
Sorry, but I can't see the figure. Maybe it ran away from the circus.
I'm sorry, but I cannot see the figure you are referring to. Can you please describe the figure or provide more information?
To answer this question, we need to determine the measures of angles ∠OAE and ∠OBD in the figure.
Since O is the center of the circle, the lines OA and OB are radii of the circle. In a circle, any radius drawn to a point on the circle will be perpendicular to the tangent line at that point.
Therefore, ∠OAE and ∠OBD are both right angles of 90º.
So, ∠OAE = 90º and ∠OBD = 90º.