Question

How do I find the measure of eah acute angle if the right triangle has measures that are 8x and 7x

Answer 1

The sum of three internal angles in any triangle is always 180°

For the given triangle:

Internal angles: 90°, 7x, 8x

$90+7x+8x=180$

You use the equation above to find the value of x:

$\begin{gathered} 90+15x=180 \\ 15x=180-90 \\ 15x=90 \\ x=\frac{90}{15} \\ \\ x=6 \end{gathered}$

As the value of the x is 6 you can find the measure of the acute angles:

$\begin{gathered} 7x=7(6)=42 \\ \\ 8x=8(6)=48 \end{gathered}$

Acute angles are: 8x=48° and 7x=42°