Question

find the value of x.
x =

Explanation:

Step1: Identify angle - sum relationship

The sum of the two angles $(10x)^{\circ}$ and $(5x)^{\circ}$ is $90^{\circ}$ (right - angle).
So, $10x + 5x=90$.

Step2: Combine like terms

Combining the left - hand side terms, we get $15x = 90$.

Step3: Solve for x

Divide both sides by 15: $x=\frac{90}{15}$.
$x = 6$.

Answer:

$6$