Today Aiden and I discussed the concept of vertical angles. We defined the word as opposite angles with congruent measures. Next, we worked on a problem regarding the intersection of two roads. The problem had us determine if the roads were skew (20 degrees or more away from 90 degrees). We drew a picture of two intersecting lines and labeled the angles given in terms of x. I asked Aiden how we could write an equation relating the two angles. Aiden recognized since the vertical angles that were given are equal in measure, we could set up an equation setting the 2 sides equal to each other. This brought up solving an equation type that Aiden and I have yet to discuss (solving equations with variables on both sides). I showed Aiden how to approach it, and he understood it well. (It was the only problem we solved with that scenario though - so I will pull more practice with this concept tomorrow). We saw a few more examples where Aiden recognized the given angles were vertical, therefore congruent and he could easily set up the equation to solve and find the angle measures. We will finish this lesson tomorrow.