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# An interesting Geometry problem

Let $$ABC$$ be an acute triangle.

Let $$P$$ be the foot of the altitude from $$A$$ to $$BC$$.

Let $$O$$ be the circumcenter of $$\bigtriangleup{ABC}$$.

Prove that if $$\angle{BCA}\geq\angle{ABC}+30^{\circ}$$,

$\angle{BAC}+\angle{COP}<90^{\circ}.$

Note by Yuxuan Seah
3 years ago