Lines j and k are parallel. .

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Measure of  Angles A and B are supplementary, so they add up to 180°. .
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Measure of  Angles A and C are vertical, so they are congruent. 
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Measure of  Angles B and F are corresponding, so they are congruent.  | |
Measure of  Angles B and H are alternate interior angles, so they are congruent. 
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Measure of  Angles A and G are alternate exterior angles, so they are congruent. 
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