Find the area of a parallelogram if its two sides are 14 and 20, and the angle between them is 150 degrees.

From the condition, we know that its two sides of the parallelogram are 14 and 20, and we also know that the angle between them is 150 °.

To calculate the area of the parallelogram, we will use the formula:

S = a * b * sin a.

The area of the parallelogram is equal to the product of the sides and the sine of the angle between them.

Let’s find the second angle, the one-sided angles of the parallelogram 180 ° – 150 ° = 30 °.

We substitute the values into the formula and perform the calculations:

S = 14 * 20 * sin 30 ° = 14 * 20 * 1/2 = 7 * 20 = 140 square units.