The two angles of a right angled triangle other than 90° are in the ratio 2: 3. Express the given situation algebraically as a system of linear…

Let the measures of two angles be \(\displaystyle x\) and \(\displaystyle y\) ATQ \[x+y=90^{\circ} \quad \ldots \text { (i) } \] and \(\displaystyle \frac{x}{y}=\frac{2}{3} \Rightarrow 3 x-2 y=0 \quad \ldots\) (ii) Solving (i) and (ii), we get \(\displaystyle x=36^{\circ}, y=54^{\circ}\)