nicolevolkov nicolevolkov
  • 03-06-2020
  • Mathematics
contestada

Find the value of x in each case. Give reasons to justify your solutions!

H∈ IG

Find the value of x in each case Give reasons to justify your solutions H IG class=

Respuesta :

eudora eudora
  • 08-06-2020

Answer:

x = 24°

Step-by-step 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.

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