To find the measure of angle \( \angle JHI \), we can use the fact that the sum of the measures of angle \( \angle GHI \) and its adjacent angles \( \angle GHJ \) and \( \angle JHI \) should be equal.
Given:
- \( \angle GHI = 135^\circ \)
- \( \angle GHJ = 112^\circ \)
Using the equation:
\[ \angle GHI = \angle GHJ + \angle JHI \]
we can substitute the known values:
\[ 135^\circ = 112^\circ + \angle JHI \]
To find \( \angle JHI \), subtract \( 112^\circ \) from both sides:
\[ \angle JHI = 135^\circ - 112^\circ \] \[ \angle JHI = 23^\circ \]
Thus, the measure of \( \angle JHI \) is \( 23^\circ \).
The answer is 23°.
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