From the vertices of the angle MNK, a beam of NO was drawn so that the angle KNO is 8/15 of the angle MNK. Find the angle MNO.

univerkov | January 10, 2021 | education

Let the angle <MNK = x, find <MNO.
Sum of angles <MNO + <KNO = <MNK. Angle <KNO = 8/15 * (<MNK) = 8/15 * x. Then, having rewritten the known values of the angles, the expression will be true:
<MNO + 8/15 * x = x, whence the desired angle <MNO = x – 8/15 * x = 7/15 * x.
Answer: <MNO = 7/15 angle <MNK.

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.