Question

What is the value of X if the cute angles of a right triangle measure 8X and 12 X

Answer 1

In a right triangle, the total measure of the acute angles is 90 degrees. If the acute angles are 8x and 12x, then we can say that:

$8x+12x=90$

From the equation above, we can solve for x.

1. Add similar terms 8x and 12x.

$20x=90$

2. Divide both sides of the equation by 20.

$\begin{gathered} \frac{20x}{20}=\frac{90}{20} \\ x=4.5 \end{gathered}$

Therefore, the value of x is 4.5.