One of the corners formed at the intersection of two straight lines is 4 times larger than the other. Find these corners.

Let’s solve this problem using the equation.
Let the first of the adjacent angles be x degrees, then the second of the adjacent angles is 4 * x degrees, since it is 4 times the first angle. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + 4 * x = 180;
x * (1 + 4) = 180;
x * 5 = 180;
x = 180: 5;
x = 36 degrees – the degree measure of the first of the adjacent angles;
36 * 4 = 144 degrees – the degree measure of the second of the adjacent angles.
Answer: 36 degrees and 144 degrees.