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 ' \( x \) '. \( \begin{array}{l}\text { a } \\ \text { a } \\ \text { b } \\ \text { c } \\ \text { c } \\ 33 \\ 55\end{array} \)

To determine the value of \( x \) in the parallelogram \( ABCD \), let's use the properties of parallelograms: 1. **Opposite angles are equal**: \[ \angle A = \angle C \quad \text{and} \quad \angle B = \angle D \] 2. **Consecutive angles are supplementary**: \[ \angle A + \angle D = 180^\circ \quad \text{and} \quad \angle B + \angle C = 180^\circ \] Given: \[ m\angle D = x^\circ \] \[ m\angle A = (3x + 4)^\circ \] Using the supplementary angles property: \[ \angle A + \angle D = 180^\circ \] \[ (3x + 4) + x = 180 \] \[ 4x + 4 = 180 \] \[ 4x = 176 \] \[ x = 44^\circ \] **Answer:** \( x = 44^\circ \)