The diagonals of the rectangle intersect at an angle of 20 degrees. Find the angles that make a diagonal
| September 3, 2021 | education
The diagonals of the rectangle intersect at an angle of 20 degrees. Find the angles that make a diagonal with the sides of the rectangle.
In a diagonal rectangle, the diagonals divide it into four isosceles triangles, the opposite of which are equal.
In the triangle AOB, the angle BAO = ABO = (180 – 20) / 2 = 80, then the angles DCO = CDO = 80.
Since the angles between the sides of the rectangle are 90, the angle CBO = 90 – ABO = 90 – 80 = 10.
Then СBО = BСО = ADO = DAO = 10.
Answer: The diagonals form angles 10 and 80 with the sides.
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