Question

angle fgh is a straight angle. the measure of angle jgh is 30°. the measure of angle fgj is x°. what is the value of x?

Explanation:

Step1: Recall straight - angle property

A straight angle measures $180^{\circ}$. So, $\angle FGH=180^{\circ}$, and $\angle FGH=\angle FGJ+\angle JGH$.

Step2: Substitute known values

We know $\angle JGH = 30^{\circ}$ and $\angle FGJ=x^{\circ}$. Then $180=x + 30$.

Step3: Solve for x

Subtract 30 from both sides of the equation: $x=180 - 30$.

Answer:

$x = 150$