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What is the measure of angle S?

What is the measure of angle S?-example-1
User Splrs
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Given that lines a and b are parallel, the line that crosses them, that transversal in the middle, creates the same four angles at each intersection. This means that all of the corresponding angles are congruent:

y = x
z = r
158 = t
u = s

Since t = 158 degrees, and u is supplementary to t (their angles add to 180), then we know that

158 + u = 180

Or, reorganizing,

u = 180 - 158 = 22 degrees


User Mauri Lopez
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