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

| August 17, 2021 | education

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’s solve the problem using the equation.
Let the degree measure of the angle K be equal to x degrees, the degree measure of the angle M is equal to (x + 10) degrees, the degree measure of the angle N is equal to (x + 10 + 40) degrees. We know that the sum of the degree measures of any triangle is 180 degrees. Let’s make the equation:
x + x + 10 + x + 10 + 40 = 180;
x + x + x + 20 + 40 = 180;
x + x + x + 60 = 180;
3 * x = 180 – 60;
3 * x = 120;
x = 120: 3;
x = 40 degrees – the degree measure of the angle K;
40 + 10 = 50 degrees – the degree measure of the angle M;
40 + 10 + 40 = 90 degrees is the degree measure of the angle N.
Answer: 40 degrees; 50 degrees; 90 degrees.



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