The minimum value for 2x is 0 the maximum value is achieved when A, D and C are collinear and the quadrilateral ABCD becomes an isosceles triangle ABC base AB = 52 and vertical angle 2x + 34°
For the sine law (sin 2x)/22 = (sin ADB)/AB (sin 34°)/30 = (sin BDC)/BC
is given that AB = BC, and sin ADC = sin BDC because they are supplementary, so from (sin ADC)/AB = (sin BDC)/BC