Answer:
Since opposite angles in a parallelogram are congruent, we know that:
m∠DAB = m∠BCD = 67°
Since ∠BAC and ∠BCD are adjacent angles, we know that:
m∠BAC + m∠BCD = 180°
So we can solve for m∠BAC:
m∠BAC + 67° = 180°
m∠BAC = 113°
Since opposite angles in a parallelogram are congruent, we know that:
m∠BAD = m∠BC
So we can solve for m∠BC:
m∠BAD = 16
m∠BC = 16°
Finally, we can solve for x by using the fact that the interior angles of a quadrilateral sum to 360 degrees:
m∠DAB + m∠BAC + m∠BCD + m∠CDA = 360°
67° + 113° + m∠BCD + 90° = 360°
m∠BCD = 90°
So we can solve for x:
m∠4B - m∠BCD = 90° - 90° = 0
4x - 59° = 0
4x = 59°
x = 14.75°
Therefore, m/BAC = 113°, m/B = 16°, and x = 14.75°.