The diagonals of the KMNP rhombus meet at point O. Find the angles of the KOM triangle
| September 24, 2021 | education
The diagonals of the KMNP rhombus meet at point O. Find the angles of the KOM triangle if the MNP angle is 80 degrees.
Since the angles of the rhombus are pairwise equal:
MNP = KMN = 80 degrees,
since the diagonals of the rhombus divide its corners in half:
KMO = 1/2 * KMN = 1/2 * 80 = 40.
Since the diagonals intersect at right angles, the angle KOM = 90.
Then MOK = 180 – 90 – 40 = 50.
Answer: The angles of the triangle KOM are: 40, 50, 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.
