In a triangle MOK O = 76 °, and the angle M is 3 times less than the outer angle at the vertex K.

In a triangle MOK O = 76 °, and the angle M is 3 times less than the outer angle at the vertex K. Find the unknown angles of the triangle.

Let the degree measure of the external angle at the vertex K be wound x. Then the angle M of our triangle will be x / 3. Since the outer corner of a triangle can be found by adding two inner angles that are not adjacent to it, we get the following equation:
x / 3 + 76 = x
x + 228 = 3x
2x = 228
x = 114.
We found the outer angle at the top of K.
Angle M = x / 3 = 114/3 = 38 ° /
The angles M and O are known, we find the third angle:
Angle K = 180 ° – (angle M + angle O) = 180 ° – (76 ° + 38 °) = 66 °
Answer: angle M is 38 °, angle K is 66 °.