[Video] Q3: In the figure above, lines a and m are parallel and lines s and t are parallel. if the measure of ∠1 is 35°, what is the measure of ∠2 ?

Explanation for Question 3 From the Math (Calc) Section on the Official Sat Practice Test 1

Now number three says that in the figure above lines, 2 L and M are parallel. So right here lines, 3 L and M are parallel to each other and lines T are parallel to 4 each other. So here's S and here's T if the measure of one is 5 35 degrees, so we can see that this angle here is actually 35 degrees. 6 What is the value of angle two? And so what we can try to 7 do is kind of work backwards from angle two and see how we can 8 create a relationship between angle one. 9 Because if we go right here, 10 then we know that angle two, and this angle that I've created right here, 11 we'll call it angle three. Those are what we call corresponding angles, 12 right? Because if we look at these two sets of four, 13 they would both be in the upper left-hand corner of these two 14 intersections right here. 15 So two and three are corresponding, 16 which means that two is equal to three. 17 Now, if we try to get three up here, 18 right, we'll call this angle four. We know that three is also equal to 19 angle four, because those are also corresponding angles, 20 right? So if we can think about to being cool, 21 equal to three and three being equal to four, 22 then that means that angle two is also equal to angle four. 23 So in more simple terms, the angle measure right here is the same as 24 the angle measure right here, because these are all corresponding angles. 25 Now we can see the angle for an angle. 26 1 35 degrees create a line. 27 And the total angle on the line is going to be 180 degrees, 28 right? So if I do 180 minus 35, 29 I'll get this angle, which is also the same as the angle that I'm 30 looking for angle too. So when I do this math, 31 we get 1 45 and sorry, 32 correct. Answer for three is going to be de.