Answer:
∠ GJK = 22°
Step-by-step explanation:
∠ HJI = ∠ JHG ( alternate angles ), then
7x - 16 = 5x + 8 ( subtract 5x from both sides )
2x - 16 = 8 ( add 16 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12 , so
∠ KJI = 7x - 16 = 7(12) - 16 = 84 - 16 = 68°
Then
∠ GJI = 90° ( vertex of a rectangle )
∠ GJK = 90° - 68° = 22°
