The four angles in a quadrilateral \(ABCD\) are \(\angle A = (x + 50)^{\circ}\), \(\angle B = (3x - 20)^{\circ}\), \(\angle C = (4x + 50)^{\circ}\) and \(\angle D = (2x + 70)^{\circ}\). Find the value of \(x\) and find the measures of each of the angles.
Answer:
\(x =\) \(^{\circ}\)
\(\angle A =\) \(^{\circ}\)
\(\angle B =\) \(^{\circ}\)
\(\angle C =\) \(^{\circ}\)
\(\angle D =\) \(^{\circ}\)