Triangles ABC and MNK are equal.It is known that AB = MN, BC = NK, angle C = 75 *, MK = 4 cm.Find AC and angle K.

univerkov | April 28, 2021 | education

You can establish a correspondence between the triangles described in the problem. It is said that AB is equal to the side MN, and the angle ACB is equal to the angle MKN.
We also know that the BC side is equal to the MK side.
This data is enough to put the side of the speaker in correspondence with the side of the MK.
Since the side of the AC is equal to the side of the MK, then the AC is also 4 cm.
And if ∠С = ∠ К, then the angle К is equal to 75 °.
ANSWER: АС = 4 cm, ∠ К = 75 °.

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.