ACT Math · Angles and polygons
Two parallel lines are cut by a transversal. One angle formed measures 112°. What is the measure of the co-interior (same-side interior)…
Two parallel lines are cut by a transversal. One angle formed measures 112°. What is the measure of the co-interior (same-side interior) angle to it?
Answer and explanation
Answer: J: 68°
Co-interior (same-side interior) angles formed by parallel lines and a transversal are supplementary, so they sum to . The angle that is co-interior with the given angle is , choice J. Choice F () is the measure of an angle that is congruent to the given one, such as a corresponding or alternate interior angle, rather than the co-interior one. Choice G () and choice H () do not relate to by any parallel-line rule. The two angles must add to a straight angle, so the answer has to be acute here.
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