The problem
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Two angles are supplementary. The first angle is 3x degrees. The second angle is (2x+25) degrees. Determine the measure of the smaller angle.
Answer provided by our tutors
Since the angles are supplementary, they add up to 180 degrees:
3x + (2x + 25) = 180
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Click here to see the equation solved for x
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x = 31 degrees
3*31 = 93
180 - 93 = 87
The smaller angle measures 87 degrees.