Question

the measure of angle fgh is 140°. the measure of angle fgj is 45°. the measure of angle jgh is x°. find the value of x.
x =

Explanation:

Step1: Analyze the relationship between angles

Since $\angle FGH=\angle FGJ + \angle JGH$, we can use this angle - addition formula.

Step2: Substitute the known values into the formula

We know that $\angle FGH = 140^{\circ}$ and $\angle FGJ=45^{\circ}$, and $\angle JGH=x^{\circ}$. So, $140 = 45+x$.

Step3: Solve for \(x\)

Subtract 45 from both sides of the equation: $x=140 - 45$.

Answer:

$x = 95$