Question

Find the supplement angle of $\frac{1}{4}$ right angle .

Answer 1

Supplement angle :Two angles are called supplementary when their measures add up to $180°.$

Now $\frac{1}{4}rightangle=\frac{1}{4}\times 90°=44°30\text{'}$

Let the unknown angle is $=x$

Then

$$\begin{gathered} 44°30\text{'}+x=180° \\ x=180°-44°-30\text{'} \\ x=135°30\text{'} \end{gathered}$$

Hence, supplementary angle of $44°30\text{'}=135°30\text{'}$