Given the area is 85cm^2. Use the base as 10 cm, so
This gives one angle
So the other angle:
Incidentally, you can think of a square or a rectangle as special kinds of parallelograms since they do fit the definition of parallelogram. If you do this then, like I mentioned above, the height turns out to be the length of the vertical side. You may have done this already in class (I remember doing it in my geometry class), but if you didn't know the formula for the area of a parallelogram, just cut one out of a piece of paper. Then draw a vertical line from a top corner to the base (through the inside of the parallelogram). Cut along this line to get that right triangle. Lastly, slide that right triangle over to the other side of the parallelogram...SCORE! You just made a square and you can see why the area of a parallelogram must come from the base times the VERTICAL HEIGHT, and not just the product of two sides. Happy mathing!