There are a total of 20 names, 9 of which are girl names.
The probability that the first name is a girl name is 9/20.
Since there's one less girl name in the hat, there are now a total of 19 names, 8 of which are girl names. So the probability that the second name is a girl name is 8/19.
Since the measure of angle XYZ is 76 degrees, we know that the measure of XYZ would be twice the amount of the angle measurement due to the square root theorem. In this case 76 times 2 or 76 plus 76 equals 152 degrees. 152 degrees is your final answer.