Question
An obtuse LG HI has a measure of 135°. It contains adjacent angles GHJ and JHI.
ZGH J has a measure of 112°. What is the measure of LJHI? (1 point)
O 68°
O 15°
O 90°
O 23°
ZGH J has a measure of 112°. What is the measure of LJHI? (1 point)
O 68°
O 15°
O 90°
O 23°
Answers
GPT 3.5
To find the measure of LJHI, we can subtract the sum of the measures of ZGHJ and JHI from the measure of an obtuse angle, which is 135°.
First, the measure of ZGHJ is given as 112°.
Next, let's find the measure of JHI. The sum of the measures of ZGHJ and JHI is equal to the measure of GHJ. Therefore, GHJ must have a measure of 135° - 112° = 23°.
Since JHI is an adjacent angle to GHJ, it must have the same measure as GHJ, which is 23°.
Finally, to find the measure of LJHI, we subtract the sum of ZGHJ and JHI from the measure of the obtuse angle, 135° - (112° + 23°) = 135° - 135° = 0°.
Therefore, the measure of LJHI is 0°.
First, the measure of ZGHJ is given as 112°.
Next, let's find the measure of JHI. The sum of the measures of ZGHJ and JHI is equal to the measure of GHJ. Therefore, GHJ must have a measure of 135° - 112° = 23°.
Since JHI is an adjacent angle to GHJ, it must have the same measure as GHJ, which is 23°.
Finally, to find the measure of LJHI, we subtract the sum of ZGHJ and JHI from the measure of the obtuse angle, 135° - (112° + 23°) = 135° - 135° = 0°.
Therefore, the measure of LJHI is 0°.