In the figure below ( not to scale), ABC is a straight line. If `/_ FBE =60^(@), /_ CBG =120^(@), /_ ABG = x^(@), /_ ABF= gamm^(@)` and `/_ CBE = z^(@) = 2 gamma^(@)`, then `( x^(@)+z^(@)) : gamma^(@)` is

In the figure below ( not to scale) bar(CD)||bar(RS) /_EMG=90^(@),/_GMD= gamma^(@),/_CME= x^(@) and gamma^(@)=(x^(@))/(2) . /_ FNS : /_FNR is

In the adjoining figure, x : y : z=5 : 4 : 6 . If XOY is a straight line, find the values of x, y and z.

In the figure below, m||l||n and bar(PT)||bar(QR) . If /_ TUV =x,/_QRS =gamma and /_ QVW =z , then which of the following is necessarily true ?

State whether the following nuclear disintegrations are allowed or not (star indicates an excited state). Give reason if it not allowed. (a) ""_(Z)^(A) X _(**) to _(Z)^(A) X + gamma (b) ""_(Z)^(A) X to _(Z-2)^(A) X + _(2)^(4) He

If x/(tan (theta + alpha)) = y/(tan (theta + beta)) = z/tan(theta + gamma), "prove that" (x+y)/(x-y)sin^(2) (alpha - beta) + (y + z)/(y - z) sin^(2) (beta - gamma) + (z + x)/(z-x) sin^(2) (gamma - alpha ) = 0

Consider the system of equations : x + y + z = 0 alpha x + beta y + gamma z = 0 alpha^(2) x + beta^(2) y + gamma^(2) z = 0 then the system of equations has