Angle is divided into two parts A and B such that A-B=x and A: B=p: q . The value of x is equal to

Step-by-step solution

A - B = x and A : B = p : q Also, given = A + B A - B = x and = A + B A = x + 2 and B = - x 2 Now, A B = ( x + 2 ) ( - x 2 ) = p q (Given) aligned & 2 ( +x 2 ) ( -x 2 ) 2 ( +x 2 ) ( -x 2 ) = p q & + x - x = p q aligned x = p+q p-q x= ( )(p-q) p+q