Answer:
∠ HIK = 30°
Explanation:
∠ HIK and ∠ JIK form ∠ HIJ , that is
∠ HIK + ∠ JIK = ∠ HIJ
given ∠ JIK = 42° and ∠ HIJ = 72°
substitute these value into the equation
∠ HIK + 42° = 72° ( subtract 42° from both sides )
∠ HIK + 42° - 42° = 72° - 42° , that is
∠ HIK = 30°