In the figure below, line x is parallel to line y. What is the measure of angle a?

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问题 In the figure below, line x is parallel to line y. What is the measure of angle a?

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答案137°

解析 The answer is 137°. The transversal crosses two parallel lines, so the angles made at the intersections will be identical. 43° corresponds to the supplementary angle of a on line y. Since 43° and a are supplementary angles, they must add up to 180°. Therefore, the answer is 137°.
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