Explanation for Question 2 From the Math (No Calc) Section on the 2020 March Sat
So question number two is asking us what the value of Xs given the 2 L is parallel to M and J is parallel to K and these types 3 of questions can feel a little daunting at first because they've given you a 4 ton of information and it can be hard to know where to start. 5 But where I always like to start is by just filling in everything that 6 I know right off the bat. And so one of the first things that 7 I'm noticing here is that I have a vertical angle, 8 vertical angles are angles that are right across from each other. 9 So for example, in this cross here, 10 the two with ones would be vertical angles. 11 And the two angles with twos would be vertical angles and vertical angles are 12 always congruent. They're equal. 13 So if this angle right here is 40, 14 that means this angle should also be 40. 15 And if this angle right here is 80 right here, 16 that means that this angle should also be 80. 17 Now I just need to figure out what is this angle? 18 And then I'll be able to fill in those two dots, 19 right? Or those two spots. And I can do that by imagining this is 20 a single line, right? 21 So let me redraw this here, where this is just line J we're going 22 to ignore all the other information for now. And I've got a 40 degree 23 here and an 80 degree here, and we know that all the angles on 24 a line should add up to be 180 degrees. 25 So if I do 180, that should be equal to the 40 plus 26 the 80 plus another angle. 27 We'll call it why here and now I can solve for Y si...