In Fig. 16.176, Δ ABC is an equilateral triangle. Find m∠BEC.
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In Fig. 16.176, ΔABC is an equilateral triangle. Find ∠BEC
- Since the quadrilateral ABEC is a cyclic quadrilateral, therefore the sum of the opposite angles of ABEC is supplementary.
- Supplementary angles are the pair of angles whose sum is = 180°
- ∠BAC + ∠BEC = 180°
- ∠BEC = 180° - 60° = 120°
Hence ∠BEC = 120°
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Answer:
Since, ΔABC is an equilateral triangles
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