Step: Finding the supplementary angle
We know that, two angles are said to be supplementary if their sum is \(180^\circ\).
Let, supplement angle of \((20^\circ+y^\circ)\) be \(x^\circ\).
\( \therefore x^\circ+(20^\circ+y^\circ)=180^\circ\)
\(\Rightarrow x^\circ =180^\circ−(20^\circ+y^\circ) \)
\(\Rightarrow x^\circ=180^\circ−20^\circ−y^\circ\)
\(\Rightarrow x^\circ =(160^\circ−y^\circ) \)
\(\therefore x^\circ=(160−y)^\circ\)
Hence, supplementary angle of \((20^\circ+y^\circ) \) is \((160−y)^\circ\).