Answer:
x = 27
Step-by-step explanation:
∠ ABD and ∠ BDE are alternate angles and are congruent, then
∠ BDE = 72°
∠ ADB + ∠ BDE + ∠ EDF = 180° ( sum of angles on a straight line ), that is
2x + 72 + 2x = 180
4x + 72 = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27
