The ray gj is the angle bisector of fgh and m fgh = 75.enter m fgj

m∠FGJ=37.5°

Step-by-step explanation:

we know that

m∠FGH=75°

m∠FGH=m∠FGJ+m∠JGH

so

75°=m∠FGJ+m∠JGH > equation A

If the ray GJ is the angle bisector of angle FGH

then

m∠FGJ=m∠JGH > equation B

substitute equation B in equation A and solve for m∠FGJ

75°=2(m∠FGJ)

Divide by 2 both sides

m∠FGJ=37.5°

answer: 40.95

step-by-step explanation:

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