Angles (modified copy of Cason)
 Angles 1 and 3 are directly across from each other.They are called vertical angles.  They share only a vertex.  They always measure the same.  Therefore,if angle 1 measures 27 degrees, angle 3 willmeasure         degrees.1243 Angles 2 and 4 are also directly across from each other.They are  vertical too.  They share only a vertex.  They always measure the same.  Therefore,if angle 2 measures 153 degrees, angle 4 willmeasure         degrees.1243 Angles that make 180 degrees together are calledsupplementary angles.  If we know the measure ofone angle, we can subtract from 180 to find themissing angle.   180   - 50   = oo50oo Angles that make 180 degrees together are calledsupplementary angles.  If we know the measure ofone angle, we can subtract from 180 to find themissing angle.   180   - 112   = o112ooo Angles that make 180 degrees together are calledsupplementary angles.  If we know the measure ofone angle, we can subtract from 180 to find themissing angle.   180   - 81   = oox81oo Angles that make 180 degrees together are calledsupplementary angles.  If we know the measure ofone angle, we can subtract from 180 to find themissing angle.   180   - 52   = oox52oo Angles that make 90 degrees together are calledcomplementary angles.  If we know the measure ofone angle, we can subtract from 90 to find themissing angle.     90   - 25   = ooxo25o Angles that make 90 degrees together are calledcomplementary angles.  If we know the measure ofone angle, we can subtract from 90 to find themissing angle.     90   - 40   = ooxo40o The two indicated angles arex =supplementary anglescomplementary anglesvertical anglesox28o The two indicated angles arex =xsupplementary anglescomplementary anglesvertical angleso52o The two indicated angles arex =supplementary anglescomplementary anglesxvertical angleso52o The two indicated angles arex =xosupplementary anglescomplementary anglesvertical angleso141o The two indicated angles arex =supplementary anglescomplementary anglesxvertical angleso52o Angle 1, angle 2, and angle 3 equal 360 degrees.  Angles 1 and 2 formcomplementary anglesadjacent anglessupplementary  anglesvertical angles132 Solve for x.  x = 2x + 628o
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