Let's play the angle game. So I've drawn this crazy figurehere and I'm going to give you a couple of angles and then Iwant you to figure out another angle. So let me give you some angles. So let's say that this angleup here is 56 degrees. Then I also tell you thisangle here is 115 degrees. What I would like you to figureout -- this is the object of the angle game -- I want you tofigure out what this angle is right here. If you are brave, you canpause the video and try to figure it out yourself. If you would like me to walkyou through it -- and maybe I can give you a couple of stepsand then you pause it and you get the rest of it by yourself. But I will now show youhow I would have solved this in the angle game. You have all the toolsnecessary to already solve it. I want you to be able to getgood at this, because this is kind of like the keyskill on the SAT. Oh, I didn't give you a keypiece of -- you're probably saying I can't solve this. You probably can't becauseI haven't given you a key piece of information. This line here and this linehere, so this line and this line, they're parallel. I was telling you to solveit before giving you a key piece of information. That means thatthey are parallel. So what can we do this figure? So whenever I see these type ofproblems, either while playing the angle game or on, say, anSAT, I just literally kind of figure out every angle that Ican figure out and slowly try to make my way tothe goal angle. Let's see what we canfigure out here. So I'm going to do it in thisblue-green color anything that I can figure out. So this angle is 56degrees, right? These lines are parallel. This line here lookslike a transversal. Well, let's see, what's acorresponding angle to this angle right here? Well, it's the angle, right? What do we know aboutcorresponding angles for parallel lines when youhave a transversal. Well, that's 56 degrees becausecorresponding angles are equal. We could have done alot of other stuff. We could have figured out thatthis angle is 56 degrees, but that probably wouldn't havegotten us closer to our goal. That angle's 56 degrees andits corresponding angle is also 56 degrees. That wouldn't have gottenus any closer to our goal. We could have figured out thatthis is 180 minus 56, right, which is, what, 124 degrees. That really wouldn'thave helped us much. I'm showing you, these are allthings that you can do while playing the angle game. But anyway, the first step-- I said well, these are corresponding angles,so that's 56 degrees. So let's see, I need to figureout this angle right here. I know this one, and they'rein a triangle, right? You see this triangle. If only I knew this angle. Can you figure out this angle? Well, it is supplementary tothis 115 degrees, right? So this green angle plus thispurple angle is equal to 180. So this is 180 minus 115. So what's that? 180 minus -- so thisis 65 degrees. So what have we done so far? We just said well theseare parallel lines, so corresponding angles are equal. So this 56 degrees isequal to this 56 degrees. Then we said, well, this greenangle and this purple angle are supplementary, so theyhave to add up to 180. So this is 115. But this is 65, whichis just 180 minus 115. I think you might seewhere I'm going now. Now we know two anglesof a triangle. If we know two angles of atriangle, what can figure out about the third? Well, we know the angles of atriangle add up to 180, right? So let's called this x. We know that x plus 56plus 65 equals 180. What's 56 plus 65? This is where I alwaysmess up, on the addition and the subtraction. So, 5 plus 6 is 110. This is 121 I believe. 121 equals 180. Then x is equal to --let's see, 180 minus 20 is 60, so it's 59. x is equal to 59 degrees. There we go. We have accomplished our firstgoal in the angle game. There you saw it. So let's do a tougherangle problem. This one maybe won'tinvolve parallel lines. But I just want to show you,everything really just boils down to everything we learnedabout parallel lines and triangles and anglesadding up to each other. So this one involves a star. So, a line from there to there,draw a line from there to there, draw a line from thereto there, draw a line from there to there. Draw a line fromthere to there. What do we know about this? We know that this angleis 75 -- oh boy, I'm using the wrong tool. This angle is 75 degrees. We also know that thisangle is 75 degrees. We know this anglehere is 101 degrees. Your mission in this anglegame is to figure out this angle right here. What is this angle? This is a good time topause because I will now show you the solution. So what can we do here? So this angle, well jeez, Ijust like to just mess around and see what I can figure out. So, if this angle here is101 degrees, what other angles can we figure out? We could figure out -- well, wecould figure out this angle. We could figure outa bunch of angles. We could figure out that -- letme switch the color, these are my figure out angles. So that's 101, then thisis supplementary, that's 79 degrees, right? That's also 79 degrees becausethis is also supplementary. This angle right here isopposite to it, so this angle right here isgoing to be 101 degrees. What else can figure out? We could figure out this anglebecause it's supplementary, we could figure out this angle. We could also figure out thisangle because we see this triangle right here. This angle plus 75 plus 75 isgoing to equal 180, right? So let's call thisangle b, b for blue. So b plus 75 plus 75 isgoing to equal 180. And I'm just using thistriangle right here. So b plus 150 is equal to 180,or b is equal to 30 degrees. So we're able tofigure this out. Now, what will you do if I toldyou that we are now ready to figure out this yellow angle? It might not be obvious to you. You kind of have to look at thetriangle in the right way, and the SAT will do this to youall the time, all the time. That's why I'm testingyou this way. Well, let me giveyou a little hint. Look at this triangle. Non-ideal color, let me do itin red so it really stands out. Look at this triangle. I'll tell you, the hardestthing about these problems is just looking at the righttriangle and kind of seeing that oh wow, I actuallycan figure out something. Look at this triangleright here. We know this angleof it, 101 degrees. We know this angle, wejust figured it out, it was 30 degrees. So all we have left is tofigure out this yellow angle, call it x. So x plus 101 plus 30 isequal to 180 degrees because the angles in a triangleadd up to 180 degrees. So x plus 131 is equal to 180. x is equal to what? 49 degrees. There you go. We've done the secondproblem in the angle game. I think that's all of the timeI have now in this video. In the next video maybe I'lldo a couple more of these angle game problems. See you soon.