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Two lines intersect such that the measure of each obtuse angle formed by the lines is three times the measure of each acute angle formed by the lines. What is the measure, in degrees, of an obtuse angle formed by the lines?

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Sketch a picture of that situation and you will see
that the obtuse angle and the acute angle are 
supplementary.

3x + x = 180 degrees
4x = 180
x = 45 degrees (measure of the acute angle)
3x = 135 degrees (measure of the obtuse angle)

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