Complementary angles are two angles whose measures add up to 90 degrees. To find the values of the angles expressed as \(3x\) and \((2x - 5)\), we set up the equation:
\[ 3x + (2x - 5) = 90 \]
Now, simplify the equation:
\[ 3x + 2x - 5 = 90 \] \[ 5x - 5 = 90 \] \[ 5x = 95 \] \[ x = 19 \]
Now we plug \(x\) back into the expressions for the angles:
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For the first angle: \[ 3x = 3(19) = 57° \]
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For the second angle: \[ 2x - 5 = 2(19) - 5 = 38 - 5 = 33° \]
Thus, the two angle measures are \(33°\) and \(57°\).
The correct response is:
33° and 57°