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					 O is the circumcentre of ∆ ABC. If ∠BAC = 85°, ∠BCA = 75°, then ∠OAC is equal to :
 
- 
                        -  60° 
 
-  70° 
 
-   50° 
 
- 40°
 
-  60° 
Correct Option: B
According to question , we draw a figure of triangle ABC circumscribes a circle with centre O
In ∆ ABC, 
Given , ∠ BAC = 85° , ∠ BCA = 75° 
∴ ∠ABC + ∠ BAC + ∠ BCA = 180°
∴ ∠ABC = 180° – 85° – 75° = 20° 
We can say that the angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle. 
∴ ∠AOC = ∠ABC = 40° 
∴ OA = OC = radii 
In ∆ OAC, ∠OAC = ∠OCA 
(The angles at the base of an isosceles triangle are equal) 
∠OAC + ∠OCA = 180° – 40° = 140°
| ∴ ∠OAC = | = 70° | |
| 2 | 
 
	