Question

find the value of x.
s
(10x)°
v
(5x)°
t
u
x =

Explanation:

Step1: Identify angle - sum relationship

The two angles $(10x)^{\circ}$ and $(5x)^{\circ}$ are complementary as they form a right - angle (the red square indicates a 90 - degree angle). So, $10x + 5x=90$.

Step2: Combine like terms

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

Step3: Solve for x

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

Answer:

$x = 6$