Find adjacent corners if one of them is 8 times smaller than the second.

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 8 * x degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + 8 * x = 180 (we take out the common factor, that is, the variable x outside the brackets);
x * (1 + 8) = 180;
x * 9 = 180;
x = 180: 9;
x = 20 degrees – one of the adjacent corners;
8 * 20 = 160 degrees is the second of the adjacent corners.
Answer: 20 degrees; 160 degrees.