In the figure below, line t is parallel to line u, and line v is perpendicular to line u. What is the measure of angle α?

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问题 In the figure below, line t is parallel to line u, and line v is perpendicular to line u. What is the measure of angle α?

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答案 The answer is 55°. Since line v is perpendicular to line t, it forms four right angles. Another line, which is unnamed in the diagram, dissects one of the right angles. Angle a is one side and 35° is the given measurement for the other side. These two angles are complementary because they must add up to 90°: 35°+55°=90°.

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