Angles part 2

When given the words, "one is twice as large as the other", you know what the first angle is by making a formula. for example, 2a=b. If it said that one is five times bigger than the other your formula would be, b+5a=a+5b. You know when to assign a variable to something when you don't know the measure of it. Corresponding angles are congruent because they are the same location just on different parallel lines. But this does not mean that they are vertical because to be vertical they have to be across from each other. Congruent means the same, vertical angles are congruent because they have the same degrees. supplementary angles are not congruent because they have different measures that can only add up to 180. Two angles cannot be supplementary and corresponding because supplementary angles have to be on a straight line right next to each other. Also two angles cant be vertical and corresponding because corresponding angles are not across from each other. The four angles that are formed around a line and a transversal equal to 360 degrees. This is always the case because that shape is a quadrilateral and every quadrilateral equals 360 degrees.