The adjacent angles are proportional to the numbers 4 and 11. What is the difference between these angles?

Let x be one piece, then the first angle is 4x and the second angle is 11x. By the property of adjacent angles, the sum of adjacent angles is 180 degrees.
Let’s compose and solve the equation:
4x + 11x = 180
15x = 180
x = 180: 15
x = 12
Since the first angle is 4x, so 1 angle = 4 * 12 = 48
Since the second angle is 11x, so 2 angle = 11 * 12 = 132
Find the difference in angles (for this, subtract the smaller from the larger one):
132-48 = 84 degrees is the difference between adjacent angles
Answer: 84 degrees.



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