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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 m and n are parallel. What is the value of b ?
ExplanationShow
Choice A is correct. Given that lines m and n are parallel, the angle marked 130° must be supplementary to the leftmost angle marked a° because they are same-side interior angles. Therefore, 130° + a° = 180°, which yields a = 50°. Lines 
and m intersect at a right angle, so lines j, , and m form a right triangle where the two acute angles are a° and b°. The acute angles of a right triangle are complementary, so a° + b° = 90°, which yields 50° + b° = 90°, and b = 40.
Choice B is incorrect. This is the value of a, not b. Choice C is incorrect and may be the result of dividing 130° by 2. Choice D is incorrect and may be the result of multiplying b by 2.
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