Question

angle fgh is a straight angle. the measure of angle fgj is 145°. the measure of angle jgh is x°. what is the value of x?

Explanation:

Step1: Recall straight - angle property

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

Step2: Substitute the given values

We know $\angle FGJ = 145^{\circ}$ and $\angle JGH=x^{\circ}$. Then $180 = 145 + x$.

Step3: Solve for x

$x=180 - 145$.
$x = 35$.

Answer:

35