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.

Answer Link

Otras preguntas

you have a full cylindrical glass of water that stands 8 inches tall and has a radius of 1.5 inches .if you pour the water into a larger cylindrical glass that
FACTORIZE. 9x2y-24xy2-16y3 solve it
The entire region of Northern Africa and southwest Asia has a climate generally described as?
16 increased by twice a number is -24. Find the solution??
How many eighths are there in 4 1/4
The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3
Find an equivalent ratio for 22/55 then write the proportion ?
How many eighths are there in 4 1/4
Buck drove 220 miles in 5 hours. What was his average rate of speed?
(X+12) 2 ÷ x2-144 ×-12. 12×-144