To find the measure of angle ∠JHI, we can use the fact that the sum of the measures of adjacent angles is equal to the measure of the larger angle ∠GHI.
Given:
- ∠GHI = 135°
- ∠GHJ = 112°
We can use the following equation:
\[ ∠GHI = ∠GHJ + ∠JHI \]
Substituting the known values:
\[ 135° = 112° + ∠JHI \]
Now, we can solve for ∠JHI:
\[ ∠JHI = 135° - 112° = 23° \]
Therefore, the measure of ∠JHI is 23°.