Answer:
∠XYZ = 102
Step-by-step explanation:
1st step is to solve x from ΔWXY
∠W + ∠X + ∠Y = 180
where ∠W = 5x + 2
∠X = 7x + 4
∠Y = 180 - (15x - 18)
= 198 - 15x
now plugin values into the equation:
5x + 2 + 7x + 4 + 198 - 15x = 180
combine similar terms:
5x + 7x - 15x = 180 - 2 - 4 - 198
simplify:
-3x = -24
x = -24 / -3
x = 8
2nd step is to substitute x = 8 into ∠XYZ
∠XYZ = 15x - 18
∠XYZ = 15(8) - 18
∠XYZ = 102
