Find all angles (other than unfolded) that become impoverished at the intersection

Find all angles (other than unfolded) that become impoverished at the intersection of two straight lines, if the sum of three of them is exactly 280 degrees

When two straight lines intersect, two pairs of adjacent corners are formed. In turn, they make up two pairs of equal vertical angles. Let one of the vertical angles be x degrees, then the adjacent angle (180 – x). We know that the sum of three of these angles is 280 degrees. Let’s make the equation:

x + x + 180 – x = 280;

x + x – x = 280 – 180;

x + x – x = 100;

x * (1 + 1 – 1) = 100;

x * (2 – 1) = 100;

x * 1 = 100;

x = 100: 1;

x = 100 degrees – one of the vertical angles;

180 – 100 = 80 degrees is the adjacent angle.

Answer: 100 degrees; 100 degrees; 80 degrees; 80 degrees.