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Answer:
Step-by-step explanation:
First, you need to know that the word supplementary just means that the angles add up to 180°. So they can't both be in a triangle. Because all three angles in a triangle add up to 180°. But maybe one if them is in the triangle and one is just outside the triangle. Anyway, next we have:
m<M + m<N = 180°
37° + 13x = 180°
Subtract 37 from both sides of the equation.
13x = 143°
Divide both sides by 13.
x = 11
m<M = 37° (given)
m<N = 143° (as calculated above)