SAT Math · Lines, angles, and triangles · medium
Two parallel lines are cut by a transversal. One of the angles formed measures 65°. What is the measure of the co-interior (same-side…
Two parallel lines are cut by a transversal. One of the angles formed measures . What is the measure of the co-interior (same-side interior) angle to this angle?
Answer and explanation
Answer: D: 115°
Co-interior (same-side interior) angles lie between the two parallel lines on the same side of the transversal. When the lines are parallel, they are supplementary, meaning they add to . So the angle is , choice D. Choice A (65°) is the measure of the alternate interior or corresponding angle, which is equal, not supplementary. Choice B (25°) is the complement, , which applies to right angles and not to straight lines. Choice C (155°) comes from the arithmetic slip . Equal angles pair with alternate or corresponding positions; co-interior angles add to .
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