When two straight lines intersect, four corners are formed. Find these angles if two of them are 1: 5.

When two straight lines intersect, two pairs of vertical angles are formed (they are opposite to each other). Vertical angles cannot relate to each other like 1d5 (since they are always equal). So these are different angles. And others we have four pairs of adjacent ones. We take any one pair for calculation. (I remind you: “Adjacent corners are angles in which one side is common, and the other two are complementary half-lines of the sides of the other.” We can say that when two straight lines intersect, adjacent corners are “adjacent.”
From theory, we know that the sum of adjacent angles = 180 degrees. That is, one of the adjacent angles refers to the other as x, and the other, in turn, as 5x. Let’s compose and solve the equation:
5x + x = 180
6x = 180
x = 180: 6
x = 30
This means that one of the angles is 30 degrees, and the adjacent one = 5 * 30. We get 150 degrees.
Answer: when two straight lines intersect, two pairs of vertical angles are formed so that the angles in one pair = 150 degrees, and the angles in the other pair are 30 degrees each.