Answer:
59°, 71°
Explanation:
This is a "sum and difference" problem. All problems of this type have the same answer: the larger of the two numbers is the average of those given.
Then the larger angle is (130 +12)°/2 = 71°. The smaller is 71° -12° = 59°.
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More detailed solution
There are several ways to get there using equations. You can, for example, let L represent the larger number. Then L - D will be the smaller one (where D represent the difference). The sum of the two numbers (S) is ...
L + (L -D) = S
2L = S + D . . . . collect terms, add D
L = (S+D)/2 . . . the larger number is the average of the sum and difference