Find adjacent corners if one is 30 more than 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 (x + 30) degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + x + 30 = 180;
x + x = 180 – 30;
x + x = 150;
x * (1 + 1) = 150;
x * 2 = 150 (in order to find an unknown factor, you need to divide the product by a known factor);
x = 150: 2;
x = 75 degrees – one of the adjacent angles;
75 + 30 = 105 degrees is the second of the adjacent corners.
Answer: 75 and 105 degrees.