The sides of the rectangle are √3 and 1 cm. Find the angles that form a diagonal with the sides of the rectangle.

The diagonal of a rectangle divides it into two equal right-angled triangles.

In triangle ABC, sides AB = 1 cm; BC = √3 cm;

The tangent of an angle is equal to the ratio of the opposite angle to the adjacent one.

tg <BAC = BC: AB = √3: 1 = √3; <BAC = 60 °;

<ACB + <BAC = 90 °; <ACB = 90 ° – <BAC = 90 ° – 60 ° = 30 °.