The sum of three undeveloped angles formed when two intersects is 280 degrees greater

The sum of three undeveloped angles formed when two intersects is 280 degrees greater than the fourth angle. Find these 4 corners.

1. Let’s denote the fourth angle through x.

2. Determine the sum of three non-developed angles:

x + 280˚.

3. Let’s compose and solve the equation:

x + x + 280˚ = 360˚;

2x + 280˚ = 360˚;

2x = 360˚ – 280˚;

2x = 80˚;

x = 80˚: 2;

x = 40˚.

4. The fourth angle is 40˚.

5. Since at the intersection of two straight lines two pairs of vertical angles are formed, then the angles of the first pair will be equal to 40˚. Find the second pair of vertical angles 180˚ – 40˚ = 140˚, that is, each angle of the second pair is equal to 140˚.

Answer: the angles at the intersection of two straight lines are 40˚, 140˚, 40˚, 140˚.