One of the adjacent corners is 5 times the size of the other. Find adjacent corners.

Let’s solve this problem using the equation.
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;
5 * 30 = 150 degrees is the second of the adjacent corners.
Answer: 30 degrees; 150 degrees.