To find the measure of angle \( \angle JHI \), we can use the relationship between the angles. Since \( \angle GHI \) is the sum of the two adjacent angles \( \angle GHJ \) and \( \angle JHI \), we can write the equation:
\[ \angle GHI = \angle GHJ + \angle JHI \]
Substituting the measures we have:
\[ 135° = 112° + \angle JHI \]
To find \( \angle JHI \), we need to subtract \( 112° \) from \( 135° \):
\[ \angle JHI = 135° - 112° = 23° \]
Thus, the measure of \( \angle JHI \) is \( 23° \).
So the answer is:
23°
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