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The four angles in a quadrilateral \(ABCD\) are \(\angle A = (x + 70)^{\circ}\), \(\angle B = (3x - 10)^{\circ}\), \(\angle C = (4x + 40)^{\circ}\) and \(\angle D = (2x + 90)^{\circ}\). Find the value of \(x\) and find the measures of each of the angles.
 
Answer:
 
\(x =\)
 
\(\angle A =\) \(^{\circ}\)
 
\(\angle B =\) \(^{\circ}\)
 
\(\angle C =\) \(^{\circ}\)
 
\(\angle D =\) \(^{\circ}\)