# The diagonal of the rectangle makes an angle of 51 ° on one of its sides. Find an acute angle between

August 22, 2021 | education

| **The diagonal of the rectangle makes an angle of 51 ° on one of its sides. Find an acute angle between the diagonals of this rectangle.**

Since in a right-angled triangle the diagonals, at the point of their intersection, are divided in half, the triangle AOB is isosceles, OA = OB. In an isosceles triangle, the angles at the base are equal, then the angle ABO = BAO = 51.

The sum of the interior angles of the triangle is 180, then the angle AOB = 180 – 51 – 51 = 78.

Answer: The acute angle between the diagonals is 78.

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