In Delta ABC ang ABC 70 deg ang BCA 40 deg O is the point of intersection of the perpendicular bisec...........

Quantitative Aptitude ( CCS) Geometry

In ΔABC, ∠ABC = 70°, ∠BCA = 40°. O is the point of intersection of the perpendicular bisectors of the sides, then the angle ∠BOC is

100°

120°

110°

140°

छोटे Courses बड़े Results

Master Geometry

Prepare through Micro-courses

Try Now

Explanation:

OA = OB = OC = Circum-radius
In ΔABC, we know that
∠ABC + ∠BCA + ∠BAC = 180°
∠BAC = 180° – 70° – 40° = 70°
Note : 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.
∴ ∠BOC = 2 × ∠BAC = 2 × 70° = 140°