Answer:
x = 24°
Explanation:
Lines JH and EG are the parallel lines and HF is a transverse.
∠JHF ≅ ∠HFE [Interior alternate angles]
m∠JHF = 2x
Since, m∠JHF = m∠JHG + m∠FHG
2x = m∠JHG + x
m∠JHG = 2x - x = x
Since m∠JHI + m∠JHG = 180° [Supplementary angles]
156° + m∠JHG = 180°
m∠JHG = 180 - 156
m∠JHG = 24°
x = 24°
Therefore, x = 24° will be the answer.