In the figure below, ABCD is a trapezium and ABE is an isosceles triangles. The ratio of $$\angle BAE$$ to $$\angle BAD$$ is 2: 5. <hr> Find $$\angle BAD$$ <input min="0" type="number" id ="imp6pg035q4_1" class="lineinput" placeholder="?" /> and $$\angle ADC$$ <input min="0" type="number" id ="imp6pg035q4_2" class="lineinput" placeholder="?" /> .