Question

angle AB =x, angle AE=40°,angle BC=25°,angle CD=z,angle DE=y
Lines
AD and EC intersect​

Answer 1

angle a equals to angle b equals to angle c

Answer 2

In △ABC, AB=AC

Thus, ∠BAC=∠BCA ....(Isosceles triangle property).

Also, ∠BDC=∠BAC=25∘ ....(Angles in same segment).

In △BDC,

by angle sum property, the sum of angles =180o

⟹ ∠CBD+∠BCA+∠ACD+∠BDC=180

CBD+∠BCA+∠ACD+∠BDC=180⟹ ∠ACD=180−75=105∘.

Now, in cyclic quadrilateral ACDE,

∠ACD+∠AED=180 ....(Opposite angles of cyclic quadrilateral)

⟹ ∠AED=180−105

⟹ ∠AED=75∘