When two straight lines intersect, four corners are formed. One of them is 18 ° larger than the other.

When two straight lines intersect, four corners are formed. One of them is 18 ° larger than the other. Find the magnitude of each of the four angles.

When two straight lines intersect, two pairs of vertical angles are formed (they are opposite to each other). Vertical angles cannot be 18 degrees apart (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. We can make an equation.
Let x be one of the corners. Then the second angle will be x + 18.
Let’s compose ur-e:
x + (x + 18) = 180
x + x + 18 = 180
2x = 162
x = 162: 2
x = 81
That is, one of the angles = 81 degrees. Let’s find the second one.
81 + 18 = 99 degrees.
Answer: when two straight lines intersect, two pairs of vertical corners are formed. The angles in one pair are 81 degrees, and the angles in the other pair are 99 degrees.