Angles in Equilateral and Isosceles Triangles with Parallel Lines

Angles in Equilateral and Isosceles Triangles with Parallel Lines

Secondary 1

Triangle \(ABC\) is an equilateral triangle. Triangle \(ACD\) is an isosceles triangle.
\(AB\) is parallel to \(EC\).

  1. Find
    1. angle \(ACE\),
    2. angle \(ADF\),
    stating your reasons clearly.
  2. What is the name of the triangle \(ABD\)?

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Answer:(a)(i) \(\angle ACE=60^\circ\) (a)(ii) \(\angle ADF=150^\circ\) (b) A right-angled triangle

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