Answer:
x = 11
Step-by-step explanation:
∠CAB = ∠DCA = 33° ← alternate angles
∠ACB = 180° - 5x ← angles on a straight angle
The sum of the 3 angles in ΔABC = 180°, hence
33 + 2x + 180 - 5x = 180
- 3x + 213 = 180 ( subtract 213 from both sides )
- 3x = - 33 ( divide both sides by - 3 )
x = 11
