Mathematics

In the diagram above; O is the centre of the circle and |BD| = |DC|….

In the diagram above; O is the centre of the circle and |BD| = |DC|. If ∠DCB = 35°, find ∠BAO.

  • A.
    20o
  • B.
    25o
  • C.
    30o
  • D.
    35o
  • E.
    40o
Correct Answer: Option A
Explanation

< DBC = 35° (base angles of an isosceles triangle)

< CDB = 180° – (35° + 35°)

= 110°

< ADB = 70°; < ADB = 90°

(therefore) < BAO = 180° – (70° + 90°)

= 20°