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An obtuse ∠GHI has a measure of 135° . It contains adjacent angles GHJ and JHI . ∠GHJ has a measure of 112° . What is the measu...Question
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)
Responses
23°
23 degrees
15°
15 degrees
90°
90 degrees
68°
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)
Responses
23°
23 degrees
15°
15 degrees
90°
90 degrees
68°
Answers
Answered by
GPT-4o mini
To find the measure of angle \( \angle JHI \), we can use the fact that the sum of adjacent angles that form a straight line (or are on a straight angle) equals 180°.
We know:
- \( \angle GHI = 135° \)
- \( \angle GHJ = 112° \)
To find \( \angle JHI \), we can use the relationship:
\[
\angle GHI = \angle GHJ + \angle JHI
\]
Substituting the known values:
\[
135° = 112° + \angle JHI
\]
Now, subtract \( 112° \) from both sides:
\[
\angle JHI = 135° - 112° = 23°
\]
Thus, the measure of \( \angle JHI \) is \( 23° \).
The correct response is:
**23°**
We know:
- \( \angle GHI = 135° \)
- \( \angle GHJ = 112° \)
To find \( \angle JHI \), we can use the relationship:
\[
\angle GHI = \angle GHJ + \angle JHI
\]
Substituting the known values:
\[
135° = 112° + \angle JHI
\]
Now, subtract \( 112° \) from both sides:
\[
\angle JHI = 135° - 112° = 23°
\]
Thus, the measure of \( \angle JHI \) is \( 23° \).
The correct response is:
**23°**