Find adjacent angles if the difference is 35 degrees.

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 35 + x degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + 35 + x = 180;
x + x = 180 – 35;
x + x = 145
x * (1 + 1) = 145;
x * 2 = 145 (in order to find an unknown factor, you need to divide the product by a known factor);
x = 145: 2;
x = 72.5 degrees – one of the adjacent angles;
72.5 + 35 = 107.5 degrees is the second of the adjacent angles.
Answer: 72.5 and 107.5 degrees.