In a circle with center O, AOC is the diameter. B is a point on the circumference of the circle such that arc AB is 1/5 of the arc BC. What is the degree measure of ∠BOC?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 150°.
From the given figure,
arc AC = arc AB + arc BC
⇒ arc AC = x + 5x
⇒ arc AC = 6x
So, ∠BOC = 180 × 5/6
⇒ 30 × 5 = 150°