Question

c. solve for x in each diagram. 1.

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. In $\triangle GFH$, $\angle JFH$ is an exterior angle. So, $\angle JFH=\angle FGH+\angle GHF$.

Step2: Substitute the given values

We know that $\angle JFH = 130^{\circ}$, $\angle FGH=x$, and $\angle GHF = 99^{\circ}$. Substituting into the formula $130=x + 99$.

Step3: Solve for $x$

Subtract 99 from both sides of the equation: $x=130 - 99$. So, $x = 31^{\circ}$.

Answer:

$x = 31^{\circ}$