One of the adjacent corners is five times the size of the other. Find these corners.

Let one of the adjacent angles be x degrees, then the second of the adjacent angles is 5 * x degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:

x + 5 * x = 180;

x * (1 + 5) = 180;

x * 6 = 180 (in order to find an unknown factor, you need to divide the product by a known factor);

x = 180: 6;

x = 30 degrees – one of the adjacent angles;

30 * 5 = 150 degrees is the second of the adjacent corners.

Answer: 30 and 150 degrees.



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