The angle N of the triangle MNK is 3 times the angle M, and the angle K is 55 times the angle M.

The angle N of the triangle MNK is 3 times the angle M, and the angle K is 55 times the angle M. Find the angles of the triangle MNK.

Let the triangle MNK, the angle M is equal to “x”. Then the angle N is equal to “3x”, since it is three times greater than the angle M. And the angle K is equal to “x + 55”, since the angle K is 55 degrees greater than the angle M. Knowing that the sum of the angles of the triangle is 180 degrees, we make the equation: angle M + angle N + angle K = 180 x + 3x + x + 55 = 180 5x + 55 = 180 5x = 180 – 55 5x = 125 x = 125: 5 x = 25 angle N = 3x = 3 * 25 = 75 angle K = x + 55 = 25 + 55 = 80 Check 25 + 75 + 80 = 180 180 = 180
Answer. angle M = 25 degrees.; angle N = 75 degrees.; angle K = 80 degrees.