Find the supplement angle of:

(iv). \(\dfrac{3}{4}\)of \(160^\circ\)

Step: Finding the supplementary angle

We know that, two angles are said to be supplementary when their sum is \(180^\circ\).

Let, supplement angle of \(\dfrac{3}{4}\) of \(160^\circ\) be \(x^\circ\).

\(\therefore x^\circ+\dfrac{3}{4}\times160^\circ=180^\circ\)

\(\Rightarrow x^\circ+120^\circ=180^\circ \)

\(\Rightarrow x^\circ=180^\circ−120^\circ\)

\(\therefore x^\circ=60^\circ\)

Hence, supplementary angle of \(\dfrac{3}{4}\) of \(160^\circ\) is \(60^\circ\)