Right-angled 81150

In the right-angled triangle ABC (the right angle at vertex C), the angle ratio is α : β = 5 : 3. Calculate the sizes of these angles and convert them to degrees and minutes (e.g., 45°20')

Correct answer:

α =  56.25 °
β =  33.75 °

Step-by-step explanation:

$$\begin{gathered} \alpha :\beta =5:3 \\ \alpha +\beta =90{}^{\circ } \\ \alpha =\frac{5}{5+3}\cdot 90=56.25^{\circ }=56°15^{\prime } \end{gathered}$$

$\beta =\frac{3}{5+3}\cdot 90=33.75^{\circ }=33°45^{\prime }$

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