**In the figure below, O is the centre of the circle where OCD is an equilateral triangle. Given that Angle OAB = 20 degrees and Angle AOD = 127 degrees, find Angle BOC.**

Solution

Solution

Angle DOC --> 60 degrees (Triangle OCD is equilateral)

Angle AOB --> (180 - 20 - 20) degrees

= 140 degrees (Triangle OAB is isosceles)

Angle BOC --> (360 - 140 - 127 - 60) degrees

= 33 degrees

**Answer: 33 degrees**

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