answer:Let the angle be x degrees. The supplement of the angle is 180-x degrees, and the complement of the angle is 90-x degrees. According to the given information, we have the equation 180-x=6(90-x). Simplifying, we get 180-x=540-6x. Adding 6x to both sides, we get 5x=360. Dividing by 5, we find x=72. Therefore, the measure of the angle is boxed{72} degrees. The answer is: 72

answer:The magician starts with 20 red marbles and 30 blue marbles, so he has a total of 20 + 30 = 50 marbles. He removes 3 red marbles, so he now has 20 - 3 = 17 red marbles left. He also removes four times as many blue marbles as red marbles, which is 4 * 3 = 12 blue marbles. So he now has 30 - 12 = 18 blue marbles left. In total, he has 17 red marbles + 18 blue marbles = 35 marbles left. 35 The answer is: 35

answer:There are six options for the first person in line, five options for the second person, four options for the third person, and so on. Therefore, there are 6cdot 5cdot 4cdot 3cdot 2cdot 1 = boxed{720} ways for the six people to line up.The answer is: 720

answer:Let the number be x. The square of the number, increased by 85, is x^2 + 85. The square of the number that is 17 less than the original number is (x - 17)^2. We are given that these two quantities are equal, so we have the equation x^2 + 85 = (x - 17)^2. Expanding the right side gives x^2 + 85 = x^2 - 34x + 289. Simplifying this equation gives 34x = 204. Dividing both sides by 34 gives x = boxed{6}. The answer is: 6