Triangles

Triangles

TGM Original Questions

In the figure below, the triangle \(ABD\) is a right-angled triangle, where angle \(BAD=90^{\circ}\) . \(BE\) is the angle bisector of angle \(ABD\) and \(C\) is on line segment \(BD\) . Given that \(BE=CE\) , angle \(BEA=52^{\circ}\) , find the sizes of

  1. reflex angle \(EBC\),
  2. angle \(ABC\),
  3. angle \(BEC\),
  4. angle \(CED\),

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Answer:(a) reflex \(\angle EBC=322^\circ\) (b) \(\angle ABC=76^\circ\) (c) \(\angle BEC=104^\circ\) (d) \(\angle CED=24^\circ\)

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