Multiple choice

ABCD is a cyclic quadrilateral. A tangent PQ is drawn at the point B of the circle. If ∠DBP = 650 then find ∠BCD-

  1. 105o

  2. 115o

  3. 125o

  4. 95o
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In a cyclic quadrilateral, the angle between a tangent and chord equals the angle in the alternate segment. So ∠DBP = ∠DCB = 65°. Opposite angles in cyclic quadrilateral sum to 180°, so ∠BCD = 180° - 65° = 115°. Answer is B.

Keep practicing — related questions