Angle Relationships in Triangles and Transversals

Angle Relationships in Triangles and Transversals

Secondary 1

In the following diagram (not drawn to scale), \(ABC\) is a triangle and \(AB\) is parallel to \(DEFG\). Angle \(DEC=120{}^\circ \) and angle \(BFG=75{}^\circ \).
Stating your reasons clearly in your workings,

Find

  1. \(\angle AEG\)
  2. \(\angle ABC\)
  3. \(\angle CAB\)

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Answer:(a) \( \angle AEG=120{}^\circ \) (b) \( \angle ABC=75{}^\circ \) (c) \(60°\)

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