In a triangle, one side is 18, the other is 16, and the angle between them is 150 degrees. Find the area of the triangle.

1. A, B, C – the vertices of the triangle. AB = 18 units. BC = 16 units.

CK – the height drawn to the continuation of the AB side. ∠В = 150 °. S is the area of the triangle.

2.∠CBK = 180 ° – 150 ° = 30 °.

3. CK: BC = sine ∠CBK = sine 30 ° = 1/2.

CK = BC x 1/2 = 16 x 1/2 = 8 units.

4. S = AB / 2 x CK = 18: 2 x 8 = 72 units of measure².

Answer: S = 72 units².