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

Let’s solve this problem through the equation.

Let the smaller of the adjacent angles be x degrees, then the larger of the adjacent angles is 5 * x degrees. We know from the property of adjacent angles that the sum of their degree measures 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 – the smaller of the adjacent angles;

30 * 5 = 150 degrees is the larger of the adjacent angles.

Answer: 30 degrees; 150 degrees.