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Feb 10, 2019 · Proving theorems about angles without angles 10 Feb 2019. In several recent posts, I have been exploring a way of doing trigonometry using vectors and their various products while de-emphasizing angle measures and trigonometric functions. In this system, triangles are represented as sets of three vectors that add to 0 And by the alternate interior angles theorem, since the lines are parallel, we know that these angles are congruent.1263. Since the measure of angle 2 is 107, I can say that the measure of angle 3 is 107.1272. And then, the measure of angle 4: it is also alternate interior angles with angle 1, so by that theorem, again,1284 Each pair of these angles are outside the parallel lines, and on the same side of the transversal. E A. 2 4. 5 C Concept: If two parallel lines are cut by a transversal, Corresponding angles are congruent Alternate-interior angles are congruent Alternate-exterior angles are congruent The sum of the measures of the interior angles on the same ...