Question

the measure of angle fgh is $150^{\circ}$.the measure of angle jgh is $40^{\circ}$.the measure of angle fgj is $x^{\circ}$.find the value of x.

Explanation:

Step1: Identify angle relationship

$\angle FGJ + \angle JGH = \angle FGH$

Step2: Substitute known values

$x + 40^\circ = 150^\circ$

Step3: Solve for x

$x = 150^\circ - 40^\circ$

Answer:

$110^\circ$