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# Trigonometry! #58

Prove the following extension of Moreley's Theorem using trigonometry.

Consider $$\Delta ABC$$.

Let adjacent trisectors of external angles $$B$$ and $$C$$ meet at $$P$$.

Let adjacent trisectors of external angles $$C$$ and $$A$$ meet at $$Q$$.

Let adjacent trisectors of external angles $$A$$ and $$B$$ meet at $$R$$.

Prove that $$\Delta PQR$$ is equilateral.

This is part of the set Trigonometry.

Note by Omkar Kulkarni
3 years ago

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