Question

in the diagram, O is the centre of the circle. The angle CBD is equal to

Answer 1

By degree measure theorem,

reflex∠AOC=2∠CBA

   360°-100°=2∠CBA

           260°=2∠CBA

       260°÷2=∠CBA

∴∠CBA=130°

AD is a line.

∴∠CBA+∠CBD=180°                     (Linear pair)

 ⇒130°+∠CBD=180°

  ∠CBD=180°-130°=50°

∴∠CBD=50°

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