From the circumcentre I of the ΔABC, perpendicular ID is drawn on BC. If ∠BAC = 60°, then the value of ∠BID is

Question

Question

Answer 1

Given:

∠BAC = 60°

Concept used:

The angle subtended by an arc of a circle at the center is double the angle subtended by it any point on the remaining part of the circle.

Calculation:

F1 Vikash Kumar 7.7.21 Pallavi D2

∠BIC = 2 × ∠BAC = 2 × 60° = 120°

∴ ∠BID = ∠DIC = 120°/2 = 60°