If \( A B C D \) is a parallelogram, \( m \angle D=x^{\circ} \) and \( m \angle A=(3 x+4)^{\circ} \), fi the value of ' \( x \) '. \( \begin{array}{l}\text { a } \\ \text { a } \\ \text { b } \\ \text { c } \\ \text { c } \\ 33 \\ 55\end{array} \)

In a parallelogram, opposite angles are equal, and consecutive angles are supplementary. Therefore, we have \( m \angle D = m \angle B \) and \( m \angle A + m \angle D = 180^{\circ} \). Since we are given: - \( m \angle D = x^{\circ} \) - \( m \angle A = (3x + 4)^{\circ} \) We can set up the equation: \[ (3x + 4) + x = 180 \] Combining like terms gives: \[ 4x + 4 = 180 \] Subtracting 4 from both sides, we have: \[ 4x = 176 \] Dividing both sides by 4: \[ x = 44 \] Thus, the value of \( x \) is \( 44 \).