Adjacent sides are equal to AB = 16 cm, and BC = 13 cm, and less than b = 150 degrees, find the area of the parallelogram.

Angle b and angle a are adjacent to side AB. The sum of these angles is 180 °. Find the angle a:
∠ a = 180 ° – ∠ b = 180 ° – 150 ° = 30 °.
From the top B, let us lower the BH height to the AD side. Consider a right-angled triangle ABN, find a leg BN in it, which is located opposite the angle a, the degree of which is 30 °.
BH = 1/2 * AB = 1/2 * 16 = 8 (cm).
Find the area of the parallelogram:
S = a * h = ВС * ВН = 13 * 8 = 104 (cm²).
Answer: the area of the parallelogram is 104 cm².