Question

The acute angles of a right triangle are in the ratio 2 : 1. Find each of these angles.

Answer 1

Suppose the acute angles are (2x)^° and (x)^°
Sum of the angles of any triangle is 180°

∴ 2x+x+ 90$=180$
$\Rightarrow$(3x) = 180-90
$\Rightarrow$(3x) = 90
$\Rightarrow$ x = 30
$$\begin{gathered} \mathrm{So},\mathrm{the}\mathrm{angles}\mathrm{measure}(2\times 30)°\mathrm{and}30° \\ i.e.60°\mathrm{and}30° \end{gathered}$$