Find the lengths of the sides of the heights of the parallelogram if the sides are known to be 10 cm and 12 cm, and the angles are 5: 1.

The angles are 30 degrees and 150 — (5 + 1 = 6; 180; 6 = 30;)
lower the height, you get a right triangle.
In a right-angled triangle against an angle of 30 degrees lies a leg, half the size of the hypotenuse. So you have one height — 5 cm.
Now you can find out the area — 12 * 5 = 60
Second height — divide the area to the other side – 60: 10 = 6 cm