Question

Find the supplement angle of:

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

Answer 1

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 $\frac{3}{4}$ of ${160}^{\circ }$ be $x^{\circ }$.

$\therefore x^{\circ }+\frac{3}{4}\times {160}^{\circ }={180}^{\circ }$

$\Rightarrow x^{\circ }+{120}^{\circ }={180}^{\circ }$

$\Rightarrow x^{\circ }={180}^{\circ }-{120}^{\circ }$

$\therefore x^{\circ }={60}^{\circ }$

Hence, supplementary angle of $\frac{3}{4}$ of ${160}^{\circ }$ is ${60}^{\circ }$