An obtuse ∠GHI has a measure of 135°. It contains adjacent angles GHJ and JHI. ∠GHJ has a measure of 112°. What is the measure of ∠JHI ?

The measure of ∠JHI is equal to the difference between the measure of ∠GHI and ∠GHJ.

∠JHI = ∠GHI - ∠GHJ
∠JHI = 135° - 112°
∠JHI = <<23=23>>23°. Answer: \boxed{23}.