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

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

Let’s solve the problem using the equation.
Let the degree measure of the angle M be equal to x degrees, the degree measure of the angle N is (x + 40) degrees, the degree measure of the angle K is equal to (x-10) degrees. We know that the sum of the degree measures of any triangle is 180 degrees. Let’s make the equation:
x + x + 40 + x – 10 = 180;
x + x + x + 30 = 180;
x + x + x = 150;
x * (1 + 1 + 1) = 150;
x * 3 = 150;
x = 150: 3;
x = 50 degrees – the degree measure of the angle M;
50 + 40 = 90 degrees – the degree measure of the angle N;
50 – 10 = 40 degrees – the degree measure of the angle K.
Answer: 50 degrees; 90 degrees; 40 degrees.