Given data:
The given figure of the triangle.
The angle ACB is,
[tex]\begin{gathered} \angle ACB=180^{\circ}-135^{\circ} \\ =45^{\circ} \end{gathered}[/tex]
The expression for the angle sum property is,
[tex]\angle\text{BAC}+\angle ACB+\angle ABC=180^{\circ}[/tex]
Substitute the given and above calculated values in the expression.
[tex]\begin{gathered} 75^{\circ}+45^{\circ}+\angle ABC=180^{\circ} \\ \angle ABC=60^{\circ} \end{gathered}[/tex]
Thus, the angle ABC is 60 degrees.
