The measure of an angle plus the measure of its complement must add up to 90. To solve this problem, we can set up a simple equation, letting the complement of the angle equal x.
61 + x = 90
To isolate the variable, we must subtract 61 from both sides and combine like terms.
61 - 61 + x = 90 - 61
x = 29
Therefore, the measure of the complement of an angle measuring 61 degrees measures 29 degrees.
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