Question

find the value of x. x =

Explanation:

Step1: Identify angle - sum relationship

The two angles $(5x)^{\circ}$ and $(10x)^{\circ}$ are complementary since they form a right - angle (90 degrees). So, $5x + 10x=90$.

Step2: Combine like terms

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

Step3: Solve for x

Divide both sides of the equation by 15: $x=\frac{90}{15}$.

Answer:

$x = 6$