Question

in the given figure prove that x=tikka+bitta+y

Answer 1

draw a line. through BD
such that,
beta =beta 1+beta 2. ....(1)
and x=x1+x2.........(2)

now,
in Triangle BAD,
using exterior angle property
Beta1+alpha=x1..........(3)

similarly in Triangle BCD,

Beta2+ gamma=x2.........(4)


adding both equations (3) and (4) and using equation (1) and (2);

beta + gamma + alpha=x