Jg bisects fjh, fjg= (2x + 4)° and gjh = (3x -9)°
what is fjh

Angle FJH is 60°

Step-by-step explanation:

Given,

∠FJG = (2x+4)°

∠GJH = (3x-9)°,

Since, line segment JG bisects angle FJH,

So, by the property of angle bisector,

∠FJG = ∠GJH

⇒ 2x + 4 = 3x - 9

⇒ 2x = 3x - 9 - 4

⇒ 2x - 3x = -13

⇒ -x = -13

⇒ x = 13

Hence, ∠FJH = ∠FJG + ∠GJH

= 2∠FJG

= 2( 2×13 + 4)

= 2(26+4)

= 2(30)

= 60°

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