Answer:
x = 19
Step-by-step explanation:
Since CD = DE then Δ CDE is isosceles and the base angles are congruent.
∠ DCE = ∠ DEC = 38° , thus
∠ CDE = 180° - (2 × 38)° = 180° - 76° = 104°
The consecutive angles of a parallelogram are supplementary, thus
∠ BAE + ∠ CDE = 180, that is
4x + 104 = 180 ( subtract 104 from both sides )
4x = 76 ( divide both sides by 4 )
x = 19
