Question

хорда МК и PN пересекаются, угол NPM=60 градусам, угол NPK=70 градусам.Найдите угол MNK

Answer 1

смотри решение в прикрепленном файле

Answer 2

Given Information:

We are given that the chord MK and PN intersect, and that angle NPM is 60 degrees and angle NPK is 70 degrees. We need to find the angle MNK.

Solution:

To find the angle MNK, we can use the fact that the sum of angles in a triangle is 180 degrees. We can start by finding the angles NMP and MPK.

Since angle NPM is 60 degrees and angle NPK is 70 degrees, we can calculate angle NMP as follows:

NMP = 180 - (NPM + NPK) = 180 - (60 + 70) = 180 - 130 = 50 degrees.

Now, we can find angle MPK by subtracting angle NMP from 180 degrees:

MPK = 180 - NMP = 180 - 50 = 130 degrees.

Finally, to find angle MNK, we can subtract angle MPK from 180 degrees:

MNK = 180 - MPK = 180 - 130 = 50 degrees.

Therefore, the angle MNK is 50 degrees.

Please let me know if there's anything else I can help you with!