Ac is te diameter of a circle dividing the circle into two semicircles. ED is a chord in one semi circle, such that ED is parallel to AC. B is a point on the circumference of the circle in the other semicircle.∠CBE = 75°. What is the measure (in degrees) of ∠CED?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 15°
∠CBE = ∠CAE = 75° ( Angles formed by endpoints of the chord in either major or minor segments are always equal)
∠ECA = 180 - 90 = 75 = 15°
Now, ED || AC
So, ∠ECA = ∠CED = 15°