An obtuse GJI has a measure of 135 degrees. It contains adjacent angles GHJ and JHI. GHJ has a measure of 112 degrees. What is the measure of JHI?

A. 90 degrees
B. 23 degrees
C. 15 degrees
D. 68 degrees

1 answer

B. 23 degrees

Since an obtuse angle measures between 90 and 180 degrees, the sum of GHJ and JHI should be less than 135 degrees. Therefore, the measure of JHI can be calculated as follows:

Measurement of GJI = Measurement of GHJ + Measurement of JHI
135 = 112 + x
x = 135 - 112
x = 23

Therefore, the measure of JHI is 23 degrees.