The angle between the diagonals of the rectangle is 80 degrees. Find the corners between the diagonals
| August 16, 2021 | education
The angle between the diagonals of the rectangle is 80 degrees. Find the corners between the diagonals of the rectangle and its sides.
The angle BОС is adjacent to the angle AOB, then their sum is equal to 180.
Then the angle BОС = 180 – AOB = 180 – 80 = 100.
The triangle BОС is isosceles, since the diagonals in the rectangle are divided in half, ОВ = ВС.
Then the angle СBО = СBО = (180 – BOS) / 2 = (180 – 100) / 2 = 40.
Angle ACD = BCD – ACB = 90 – 40 = 50.
Answer: The angles between the diagonal and the sides of the rectangle are 40 and 50.
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