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…

65° ?
Two parallel lines are cut by a transversal. One of the angles formed measures 65°65°. 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 180°180°. So the angle is 180°−65°=115°180° - 65° = 115°, 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, 90°−65°90° - 65°, which applies to right angles and not to straight lines. Choice C (155°) comes from the arithmetic slip 180−25180 - 25. Equal angles pair with alternate or corresponding positions; co-interior angles add to 180°180°.

More Lines, angles, and triangles questions

All Lines, angles, and triangles questions

Learn the method behind questions like this one

The SAT Math course teaches each tested skill through lessons, step-by-step solutions to sample problems, the complete study guide and full-length practice tests.