In the diagram, \(\overline{AD}\) is a diameter of a circle with Centre O. If ABD...

MATHEMATICS
WAEC 2021

geometric

In the diagram, \(\overline{AD}\) is a diameter of a circle with Centre O. If ABD is a triangle in a semi-circle ∠OAB=34",

find: (a) ∠OAB (b) ∠OCB

Explanation

∠OAB = ∠OBA=34°

∠OBA=90

∠OBD = ∠ABD - ∠0BA = 90 - 34 = 56

From triangle OBC

∠BOC + ∠OBC + ∠OCB= 180°

∠BOD =∠2OAB=68°

= 68° + 90° + ∠0CB=180

∠OCB= 180-158 =22



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