The angle M of the triangle MNK is 2 times less than the angle N and 3 times less than the angle K.

The angle M of the triangle MNK is 2 times less than the angle N and 3 times less than the angle K. Find all the angles of the triangle MNK.

1) Find the angle M if it is known that it is 2 times less than the angle N and 3 times less than the angle K. We make an equation where:

X – angle M;

2X – angle N;

3X – angle K;

180 – all angles.

X + 2X + 3X = 180;

6X = 180;

X = 180/6;

X = 30 °.

2) Find the angle N if it is known that it is 2 times the angle M.

30 * 2 = 60 °.

3) Let’s find out what degree the angle K has if it is 3 times greater than the angle M.

30 * 3 = 90 °.

Answer: the angles of the MNK triangle were: angle M = 30 °, angle N = 60 °, angle K = 90 °.