We will have that the area of the triangle is the following:
*First: We determine the missing value for the sides and angle:
Angle Y:

Side y:


Side x:


*Second: We determine the area of the triangle as follows [Heron's formula]:

Then:
![A=\sqrt[]{(74.02472346)(74.02472346-44)(74.02472346-(44\sin(63))/(\sin(50)))(74.02472346-(44\sin (67))/(\sin (50)))}](https://img.qammunity.org/2023/formulas/mathematics/college/s1dgcwy590s9x3t0yj4uxb0j983z9ox1xr.png)

So, the area of the triangle is approximately 1874.8 mm^2.