Mathematics
In the given figure, AB = DB and AC = DC. If ∠ABD = 58°, ∠DBC = (2x - 4)°, ∠ACB = y + 15° and ∠DCB = 63°; find the values of x and y.

Related Questions
AD and BC are equal perpendiculars to a line segment AB. If AD and BC are on different sides of AB prove that CD bisects AB.
In △ ABC, AB = AC and the bisectors of angles B and C intersect at point O. Prove that :
(i) BO = CO
(ii) AO bisects angle BAC.
In the following figure, AB = EF, BC = DE and ∠B = ∠E = 90°. Prove that AD = FC.

A point O is taken inside a rhombus ABCD such that its distances from the vertices B and D are equal. Show that AOC is a straight line.