Question

the measure of angle fgh is 150. the measure of angle jgh is 65. 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: Rearrange the formula to solve for $\angle FGJ$

$x = \angle FGJ=\angle FGH-\angle JGH$.

Step3: Substitute the given values

Given $\angle FGH = 150^{\circ}$ and $\angle JGH=65^{\circ}$, then $x=150 - 65$.

Step4: Calculate the result

$x = 85$.

Answer:

$85$