Question

if O is the centre of a circle as shown in the given figure then prove that X + Y = Z

Answer 1

BDA=z/2=AEB(CIRCUM ANGLE);
EXD=Y(Vertically opposite);
By angle sum property,
in triangle CDXE;
x+(180-z/2)+(180-z/2)+y=360;
x+360+y-z=360;
x+y-z=0;
x+y=z;