Question

Two acute angles of a right triangles are equal. Find the two angles.

Answer 1

Let the two equal acute angle be $x$ then, sum of all angles of a triangle

$\therefore x+x+{90}^o={180}^o$

$\Rightarrow 2x+{90}^o={180}^o$

$\Rightarrow 2x={180}^o-{90}^o$

$\Rightarrow 2x={90}^o$

$\Rightarrow x=\frac{{90}^o}{2}$

$\Rightarrow x={45}^o$

$\therefore$ Two acute $\angle s$ are ${45}^o,{45}^o$