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 ?(1 point)
Since ∠GHI is an obtuse angle with a measure of 135°, and ∠GHJ is adjacent to ∠GHI with a measure of 112°, the sum of the measures of ∠GHJ and ∠GHI is 135°.
So, let's denote the measure of ∠JHI as x. Since ∠GHJ and ∠JHI are adjacent, their measures sum up to 112°.
Therefore, we can write the equation: 112° + x = 135°.
To find the measure of ∠JHI, we need to solve for x.
By subtracting 112° from both sides of the equation, we get:
x = 135° - 112°,
x = 23°.
Therefore, the measure of ∠JHI is 23°.