Geometry: Solving for ∠FED and ∠ABC

Geometry: Solving for ∠FED and ∠ABC

Secondary 1

In the diagram, \(GFE\) is a straight line. \(BC\) is parallel to \(GE\) and \(AF\) is parallel to \(DE\).

\(\angle GFA=40{}^\circ \) and \(\angle FAB=85{}^\circ \).

Calculate, stating your reasons clearly,

  1. \(\angle FED\),
  2. \(\angle ABC\).

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Answer:(a) \(\angle FED = 40°\) (b) \(\angle ABC = 135°\)

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