In a circle with center O, ACBO is a parallelogram where C is a point on the minor arc AB. What is the measure of ∠AOB?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 120°
|
Concept |
Application |
|
All the angles of equilateral triangle are of 60° |
OB = OC = OA (radius of the circle) Also, OA = BC and OB = AC (parallel sides of parallelogram) Therefore, triangle OBC and triangle OAC are equilateral triangle. Hence, ∠AOB = ∠AOC + ∠BOC = 60° + 60° = 120° |