To find the value of x in the triangle, we can use the law of sines, which states that in any triangle ABC, the following relationship holds:
a/sin A = b/sin B = c/sin C
where a, b, and c are the side lengths of the triangle opposite to the angles A, B, and C, respectively.
In this case, we can write:
x/sin 80° = 7/sin 50°
Using the properties of sines, we can simplify this expression to:
x = (7 x sin 80°) / sin 50°
Using a calculator, we can evaluate this expression to get:
x ≈ 9.05
Therefore, the value of x in the triangle is approximately 9.05.