If a pair of vertical angles measure #5x - 55# and #3x -23#, what are the measures of the angles?

1 Answer
tcw1
Jul 31, 2017

#165°#

Explanation:

Angles A and B are vertical angles in this image: http://www.geom.uiuc.edu The measures of vertical angles are equal to each other. Let angle A= 5x-55 and let angle B= 3x-23. Given that angle A = angle B:
#5x-55=3x-23#
Solving for x:
#2x=88#
#x=44#
Substituting x in angle A:
#A=5(44)-55#
#A=165°=B#

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