Question

Two supplementary angles are in the ratio 3 : 2. Find the angles.

Answer 1

Let the two angles be 3x and 2x, respectively.
Then,
$$\begin{gathered} 3x+2x=180 \\ \Rightarrow 5x=180 \\ \Rightarrow x=36° \end{gathered}$$
Therefore, the two angles are
$3x=3\times 36°=108°\text{and}2x=2\times 36°=72°.$