Find the undeveloped corners at the intersection of two lines if one is 38 degrees larger than the other.

When two straight lines intersect, two pairs of adjacent angles are formed.
Let one of the adjacent angles be x degrees, then the second of the adjacent angles is x + 38 degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + x + 38 = 180;
x + x = 180 – 38;
x + x = 142;
x * (1 + 1) = 142;
x * 2 = 142 (in order to find an unknown factor, you need to divide the product by a known factor);
x = 142: 2;
x = 71 degrees – one of the adjacent angles;
71 + 38 = 109 degrees is the second of the adjacent angles.
Answer: 71 degrees; 109 degrees; 71 degrees; 109 degrees.