From the figure, find \( \angle BEC \) and \( \angle BDC \) using angle sum of triangles and properties of isosceles and right-angled triangles.<br><br>
Express the two angles as a ratio in simplest form.<br><br>
\( \angle BEC : \angle BDC = 5 : 7 \).<br><br>
Final Answer: 5:7