Question

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

Explanation:

Step1: Identify angle - relationship

We know that $\angle FGH=\angle FGJ+\angle JGH$.

Step2: Substitute known values

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

Step3: Solve for $x$

Subtract 45 from both sides of the equation: $x=140 - 45$.
$x = 95$.

Answer:

$95$