Please hel- I really need this it’s not a test I’m not cheating please help

x = 45

Step-by-step explanation:

Since ray IK║EH and IG is a transverse,

∠GIK ≅ ∠IGF [Corresponding angles]

Therefore, m∠IGF = x

Since, m∠JIF + m∠GIF = 180° [Supplementary angles]

2x + m∠GIF = 180°

m∠GIF = (180 - 2x)

Similarly, m∠IFE + m∠IFG = 180°

3x + m∠IFG = 180°

m∠IFG = (180 - 3x)

By the property of a triangle,

"Sum of all interior angles of a triangle is 180°"

m∠IGF + m∠GFI + m∠FIG = 180°

x° + (180 - 2x)° + (180 - 3x)° = 180°

(x - 2x - 3x) + 360 = 180

-4x + 360 = 180

4x = 360 - 180

4x = 180

x = 45