The diagonal of the rectangle makes an angle of 61 degrees from one of its sides.

The diagonal of the rectangle makes an angle of 61 degrees from one of its sides. Find an acute angle between the diagonals of this rectangle.

1. Diagonals divide the rectangle into 4 isosceles triangles. Moreover, the rectangles, the bases of which are the opposite sides of the rectangle, are equal.

2. If the diagonal of the rectangle makes an angle with one of its sides 61 degrees, then the other side with the same side makes an equal angle. Let’s find what the angle between the diagonals will be if it is known that the sum of the angles of the triangle is 180 degrees:

180 – 61 – 61 = 58 degrees.

3. An acute angle is an angle whose degree measure is less than 90 degrees.

58 <90 => an angle of 58 degrees is acute.

Answer: The acute angle between the diagonals of this rectangle is 58 degrees.