Triangles and Quadrilaterals

Triangles and Quadrilaterals

TGM Original Questions

In the figure below, triangle \(ABC\) is an isosceles triangle, where \(AD=CD\) . Given that \(AD\) is parallel to \(BC\) , angle \(BAC=76^{\circ}\) , angle \(CDF=56^{\circ}\) , and \(ADF\) , \(CAE\) are straight lines, find the sizes of

  1. angle \(DAC\),
  2. angle \(ABC\),
  3. angle \(EAB\),
  4. angle \(EAD\),

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Answer:(a) \(\angle DAC=28^\circ\) (b) \(\angle ABC=76^\circ\) (c) \(\angle EAB=104^\circ\) (d) \(\angle EAD=152^\circ\)

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