Using the given information, the value of x is -66
Linear equation
From the question, we are to determine the value of x
In the given diagram,
∠UYV and ∠WYX are vertically opposite angles
By vertical opposite angles theorem,
∠UYV = ∠WYX
∴ 56° = (-x - 10)°
56° = -x° - 10°
56° + 10° = -x°
66° = -x°
∴ x = -66
Hence, the value of x is -66.
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