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

MATHEMATICS
WAEC 1995

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

  • A. 20°
  • B. 25°
  • C. 30°
  • D. 35°

Correct Answer: A. 20°

Explanation

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

< CDB = 180° - (35° + 35°)

= 110°

< ADB = 70°; < ADB = 90°

\(\therefore\) < BAO = 180° - (70° + 90°)

= 20°



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