Calculate the value of the larger of the adjacent angles if 1/5 of one of them is equal to 0.4 of the other.

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 180 – x degrees. We know that 1/5 of one of them is equal to 0.4 of the other. Let’s make the equation:

1/5 * x = 0.4 * (180 – x);

1/5 * x = 72 – 0.4 * x;

0.2x = 72 – 0.4 * x;

0.2x + 0.4x = 72;

x * (0.2 + 0.4) = 72;

x * 0.6 = 75 (in order to find an unknown factor, you need to divide the product by a known factor);

x = 72: 0.6;

x = 120 degrees – one of the adjacent angles;

180 – 120 = 60 degrees is the second of the adjacent corners.

Answer: 120 and 60 degrees.