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.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
