Find the degree measures of the angles of the triangle MNK if the angle M is less than the angle N

Find the degree measures of the angles of the triangle MNK if the angle M is less than the angle N by 40 degrees and is greater than the angle K by 10 degrees.

Let the angle M be equal to x °, then the angle N – (x + 40) °, and the angle K – (x – 10) °.

The angles of a triangle add up to 180 °:

x + x + 40 + x – 10 = 180,

3 * x = 150,

x = 50 ° – angle M.

50 + 40 = 90 ° – angle N,

50 – 10 = 40 ° – angle K.

Answer: 50 °, 90 °, 40 °.