The one-sided angles at the intersection of two parallel secant lines are 2: 3. Find these angles.

If two parallel straight lines are intersected by a secant, then the sum of the one-sided angles = 180 degrees.
2: 3 is which parts of the corners are cut.
When relationships are used in tasks (a: b: c …), then you should assign “x” to them and see what unites them. In our case, this is that they are one-sided angles and add up to 180 degrees.
Let’s make an equation.
2x + 3x = 180 (degrees)
5x = 180
x = 36.
This means that one such “abbreviated part of the angle” is 36 degrees. Now we just use the ratio 2: 3 and we get that one of the angles = 36 * 2, and the other 36 * 3.
We multiply and write down the answer.
Answer: 72 degrees – 1 angle, 108 degrees – 2 angle.