Question

1. use the equation to find the value of x.

\\(\frac{x}{5}+20 = 60\\)
\\(x =\\)___ find \\(m\angle fji=\\)___

1. if \\(\angle utv\\) and \\(\angle vts\\) are complementary angles, create and equation and find x.

equation:
\\(x =\\)

Explanation:

Step1: Solve for x in the first - equation

Subtract 20 from both sides of $\frac{x}{5}+20 = 60$.
$\frac{x}{5}=60 - 20$
$\frac{x}{5}=40$
Then multiply both sides by 5 to get $x = 40\times5=200$.
Since $\angle FJI=\frac{x}{5}+20$, substituting $x = 200$ gives $\angle FJI = 60^{\circ}$.

Step2: Create and solve the second - equation

Since $\angle UTV$ and $\angle VTS$ are complementary, the sum of their measures is $90^{\circ}$.
The equation is $\frac{x}{7}+40 = 90$.
Subtract 40 from both sides: $\frac{x}{7}=90 - 40$
$\frac{x}{7}=50$
Multiply both sides by 7: $x = 50\times7 = 350$.

Answer:

For the first part: $x = 200$, $m\angle FJI=60^{\circ}$
For the second part: Equation: $\frac{x}{7}+40 = 90$, $x = 350$