Complementary angles are two angles whose measures add up to 90 degrees.
Given the angles \(3x\) and \(2x - 5\), we can set up the equation:
\[ 3x + (2x - 5) = 90 \]
Simplifying this gives:
\[ 3x + 2x - 5 = 90 \ 5x - 5 = 90 \ 5x = 95 \ x = 19 \]
Now we can calculate the angle measures:
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For \(3x\): \[ 3x = 3(19) = 57° \]
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For \(2x - 5\): \[ 2x - 5 = 2(19) - 5 = 38 - 5 = 33° \]
So the two angle measures are \(33°\) and \(57°\).
Thus, the correct answer is:
33° and 57° (or 33 degrees and 57 degrees).