The diagonals of the KMHP rhombus intersect at point O, find the angles of the KOM triangle if the angle MHP = 80 degrees
| April 11, 2021 | education
Since the angles of the rhombus are equal in pairs, the angle MKP will be equal to the angle MHP = 80 degrees. Since the diagonals of a rhombus bisect its corners and intersect at right angles, KOM is straight.
MKO = 1/2 MKP = 80/2 = 40.
Then the angle KMO = 180 – 90 – 40 = 50 degrees.
Answer: the required angles are 40, 50, 90.
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