Explanation for Question 2 From the Math (Calc) Section on the 2019 March Sat
Question two says in the figure three lines intersect at point P 2 if X equals 65 and Y equals 75, 3 what is the value of Z? So let's start by plugging in the information 4 that we know. We know that X is equal to 65 degrees, 5 and we know that Y is equal to 75 degrees. 6 We also know that all six of these angles added together equal 360 7 degrees. And finally we know the angles across from each other 8 or the same degree. So if angle X is 65 degrees, 9 that means this angle is also 65 degrees. 10 If angle Y is 75 degrees, 11 this angle is also 75 degrees. 12 And if this angle is zero degrees, 13 this angle is also see degrees. 14 So now that we know that we can just set this up by adding 15 together these six angles and setting that equal to 360 360. 16 So we know that twosie plus 17 130, which is just 65 plus 65 plus 18 150 is equal to 360. 19 So now all we have to do is add together one 30 and one 20 50, and that becomes two Z plus two 21 80 equals 360 subtract 22 two 80. That becomes twosie is equal to 80 degrees. 23 Whoops. And finally divide both sides by two and we get 24 Z is equal to 40. 25 And so we know that the final answer is answer C.