Answer:
<HKJ = 90
<FKG = 42
<FKJ = 138
<IKJ = 42
<FKH = 132
<GKI = 138
Step-by-Step :
<GKH , <HKI , and <IKJ all make up a line. A line is 180 degrees.
90 + 48 = 138 180 - 138 = 42 <IKJ = 42
<FKG is a vertical angle to <IKJ. Vertical angles are congruent.
<FKG = 42
<FKG and <FKJ make up a line. A line is 180 degrees.
180 - 42 = 138 <FKJ = 138
Hope this helps.