Angle Properties of Circles: Theorems and Deductions

Angle Properties of Circles: Theorems and Deductions

TGM Original

In the diagram, the points \(A\), \(B\), \(C\), \(D\) lie on a circle centre \(O\).
Given that \(\angle BOD=100{}^\circ\) and \(\angle ADO=20{}^\circ\), calculate

  1. \(\angle BAD\),
  2. \(\angle BCD\),
  3. \(\angle OBD\),
  4. \(\angle ABO\).

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Answer:(a) \(50^\circ\) (b) \(130^\circ\) (c) \(40^\circ\) (d) \(30^\circ\)

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