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Lines, angles, and triangles SAT question
Math · Geometry and Trigonometry · Easy · Answer it here, explanation included.
In the figure above, lines 
and k are parallel. What is the value of a ?
ExplanationShow
Choice C is correct. Since lines and k are parallel, corresponding angles formed by the intersection of line j with lines and k are congruent. Therefore, the angle with measure a° must be the supplement of the angle with measure 64°. The sum of two supplementary angles is 180°, so a = 180 – 64 = 116.
Choice A is incorrect and likely results from thinking the angle with measure a° is the complement of the angle with measure 64°. Choice B is incorrect and likely results from thinking the angle with measure a° is congruent to the angle with measure 64°. Choice D is incorrect and likely results from a conceptual or computational error.
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