Question

If ∠BCD = 82°, then ∠BAC = ?

• A. 85°
• B. 82°
• C. 83°
• D. 77°

Answer 1

Answer:

B. 82°

Given: ∠BCD = 82° From the Alternate segment theorem: In any circle, the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment. Hence, ∠BAC = ∠BCD = 82°