![]() ![]() When the lines crossed by a transversal are parallel, we can figure out the values of all the angles. Here’s the inside: Kathryn took many more detailed pictures of the inside flaps and posted them on her. A transversal is a line that crosses two or more lines. I borrowed the amazing Kathryn’s Angles Formed by Parallel Lines Cut by a Transversal Foldable. So the converse of the parallel lines there is true. Before jumping into trigonometry, I used this parallel lines cut by a transversal foldable to review some crucial angle facts with my students. If you have one pair of corresponding angles that are congruent you can say these two lines must be parallel. That's enough to say that they're parallel.Īnd finally, corresponding angles. That is these two angles right here that are alternate exterior, if those two are congruent, you don't even need to know about these interior ones. If two lines and a transversal form alternate interior angles, notice I abbreviated it, so if these alternate interior angles are congruent, that is enough to say that these two lines must be parallel. So the question is, if we have two lines that might be parallel and they're intersected by a transversal, can we do the converse of the parallel lines theorem? Which says, if we have alternate interior angles or alternate exterior angles, or corresponding angles that are congruent, is that enough to say that these two lines are parallel? And as we read right here, yes it is. Since, QP RS cut by transversal QR Therefore, 8 + 9 180 55 + 9 180 Therefore, 9 180 55 125 The final answer is 7 115, 9 125, 10 55.
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