In rhombus ABCD, where O is the intersection of the diagonals BD and AC, the angle BAD is 110 °

In rhombus ABCD, where O is the intersection of the diagonals BD and AC, the angle BAD is 110 °. find the corners of triangle AOB.

In a rhombus, the sum of opposite angles is 180, then the angle ABC = 180 – BAD = 180 – 110 = 70.

The diagonals of the rhombus divide the angles at the vertices of the rhombus in half, and a right angle is formed at the point of intersection of the diagonals. Then triangle AOB is rectangular, angle ABO = BCD / 2 = 70/2 = 350, angle BAO = BAD / 2 = 110/2 = 55.

Answer: The angles of the BOC triangle are 35, 55, 90.



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.