Find the acute angle of the parallelogram, the sides of which are 14 m and 8 m, and the area is 56m².

A parallelogram is a quadrilateral in which opposite sides are equal and lie on parallel lines.

In order to find the magnitude of the acute angle of the parallelogram, we use the formula for the area behind two sides and the angle between them:

S = a b sin α;

sin α = S / (a b);

sin α = 56 / (14 8) = 56/112 = 0.5.

Answer: the sine of an acute angle of a parallelogram is 0.5, which corresponds to a degree measure of an angle of 60º.