Doing homework is never fun but when asked what my favorite problem was it's one of the more challenging ones. For this I picked question #16 on page 174 in our textbook. It involves algebra which is partially why I like it, algebra is one of my better subjects. This problem gives an image of a figure that has two parellel lines cut by a transversal. It gives you one angleĀ as 65 degrees and its opposite interioir angle as (3x+5) degrees. Knowing the opposite interior angle postulate, that they are congruent gives you the geometric idea to solve it. You then set the two angles as equal : 65 = 3x +5. Once you subtract five and divide by three you get x is equal to 20. I like problems like this because it involves a little more complex thinking and you can use it to apply to the theorems and postualtes we are learning about in class.