# Trigonometry! 77

Geometry Level 5

In $$\Delta ABC$$, $$A=20^{\circ}$$, $$B=C=80^{\circ}$$. $$D$$ lies on $$\overline{AC}$$ such that $$m\angle DBC = 70^{\circ}$$. $$E$$ lies on $$\overline{AB}$$ such that $$m\angle ECB = 50^{\circ}$$. Enter the measure of $$\angle BDE$$ in degrees, without the degree sign.

Bonus: Solve this problem by Ceva's theorem.

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