One of the corners formed at the intersection of two straight lines is 3 times larger than the other.

One of the corners formed at the intersection of two straight lines is 3 times larger than the other. Find the degree measures of all the angles formed.

From the condition we know that when two straight lines intersect, angles were formed, which are due to the condition of the problem – one of the angles is 3 times larger than the other.
Let’s remember how many and what angles are formed when two straight lines intersect and what properties they have.
So, at the intersection of two straight lines, two pairs of vertical catch are formed, equal to each other.
Let’s denote by x one of the catch, then 3x the second angle.
Since these angles are adjacent, their sum is 180 °.
x + 3x = 180;
4x = 180;
x = 180: 4;
x = 45 ° and 45 * 3 = 135 °.
Answer: 45 ° and 135 °.