Answer:
114 degrees
Step-by-step explanation:
From the letters that describe the rays, these two angles are adjacent to each other, and therefore, if the measure of one is 27 degrees and that of the other one is 87 degrees, then the larger angle defined by the two rays (HJ and HK) with common vertex H would be:
m<JHK = 27 degrees+ 87 degrees = 114 degrees