Answer:
1
Step-by-step explanation:
<IHG = 162
<IHK = 4x + 4
<KHG = 8x + 2
<IHG + <IHK + <KHG = 180° (sum of angles in a triangle is equal to 180°)
See attachment for better illustration of the triangle
162 + (4x + 4) + (8x + 2) = 180
162 + 4x + 4 + 8x + 2 = 180
168 + 12x = 180
Collect liketerms
12x = 180 - 168
12x = 12
x = 1