Answer:
x = 25
<HKL = 102
Explanation:
<LKH + <HKJ = 180 since the two angles form a straight line
<LKH + <HKJ = 180
4x+2 + 78 = 180
Combine like terms
4x+80 =180
Subtract 80 from each side
4x+80-80=180-80
4x= 100
Divide by 4
4x/4 = 100/4
x = 25
<LKH = 4x+2 = 4*25 +2 = 100+2 = 102