What the converse buys you
A transversal crosses two lines. The alternate angles it makes are both 58 degrees, so by the converse, the two lines must be parallel. Given that, what is the co-interior angle on the same side as one of those 58-degree angles, in degrees?
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Once equal alternate angles have told you the lines are parallel, the co-interior fact from two lessons ago applies too: co-interior angles sum to 180.
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