Answer:
∠ ABC = 87°
Explanation:
∠ ABD and ∠ DBE are adjacent angles and are supplementary, sum to 180° , so
2x - 17 + x + 32 = 180 , that is
3x + 15 = 180 ( subtract 15 from both sides )
3x = 165 ( divide both sides by 3 )
x = 55
Then
∠ DBE = x + 32 = 55 + 32 = 87° , thus
∠ ABC = ∠ DBE ( vertical angles )
∠ ABC = 87°