It is known that x and y are positive integers, the degree of ∠1 is equal to 3x+5, the degree of ∠2 is equal to 3y-2, and ∠1 and ∠2 are complementary angles to each other, find the sum of all values that x and y can take.
已知x、y是正整数，∠1的度数等于3x+5，∠2的度数等于3y-2，且∠1、∠2互为补角，求x、y所能取的所有值的和．
<result>59</result>