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?
68°
23°
15°
90°
An obtuse angle is an angle that measures greater than 90° and less than 180°.
Given that GHI is an obtuse angle with a measure of 135°, we know that angle JHI is smaller than angle GHJ (since they are adjacent angles within the obtuse angle GHI).
Angle GHJ has a measure of 112°. Since JHI is smaller, it must measure less than 112°.
Therefore, the measure of angle JHI is 68°, which is less than 112° but still greater than 90°.