To find the measure of angle ∠JHI, you can use the relationship that the sum of the measures of adjacent angles (in this case, ∠GHJ and ∠JHI) equals the measure of the obtuse angle ∠GHI.
Given:
- Measure of ∠GHI = 135°
- Measure of ∠GHJ = 112°
Now, you can set up the equation: \[ \text{Measure of } ∠GHI = \text{Measure of } ∠GHJ + \text{Measure of } ∠JHI \]
Plugging in the values: \[ 135° = 112° + \text{Measure of } ∠JHI \]
To find the measure of ∠JHI, subtract the measure of ∠GHJ from the measure of ∠GHI: \[ \text{Measure of } ∠JHI = 135° - 112° = 23° \]
Therefore, the measure of ∠JHI is 23°.
1 answer