Find the area of the triangle whose two angles are $30^{\circ}$ and $45^{\circ}$ and the side included between them has length $\sqrt3 + 1$ units.

Pointers:

Sketch the triangle exactly as described. Put the sqrt3+1 side on the bottom

The 30 angle to the left and the 45 to the right.

drop a perpendicular down from the other angle.

Now you have 2 triangles. They are special ones.