These are just fancy words, but I think hopefully you have the intuition. But, we do not study anything in specific with the alternate angles. Angles and Transversals Many geometry problems involve the intersection of three or more lines. Look at the blue lines demonstrating the shape - the 'Z' may be back to front, as in the second example, but the principle is the same. 4 and 5 are on the same side of that transversal. Let us prove that L 1 and L 2 are parallel.. Whether the two angles under investigation are on the same side of the transversal (consecutive) or opposite sides of the transversal (alternate) Once you understand the relationship between the two angles, you can assume some basic facts, such as their congruence or that they may be supplementary. Alternate interior angles don’t have any specific properties in the case of non – parallel lines. The Converse of Same-Side Interior Angles Theorem Proof. A way to help identify the alternate interior angles. Q. Angles that are on the same side of a transversal, in corresponding positions with one interior and one exterior but are congruent are called _____. Some people find it helpful to use the 'Z test' for alternate interior angles. Alternate Exterior Angles – Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal. Well same side Interior angles would be 4 and 5, so notice we have parallel lines and the transversal. answer choices Vertical angles But alternate exterior is that angle and that angle. Alternate Angles Theorem Name : Score : Printable Math Worksheets @ www.mathworksheets4kids.com Find the value of . From the above-given figure, ∠1, ∠2, ∠7, ∠8 are the alternate exterior angles. Corresponding Angles – are angles on the same side of the transversal and also have the same degree of measurement. By the definition of a linear pair, ∠1 and ∠4 form a linear pair. So if two parallel lines are intersected by a transversal then same side, I'll say interior since this is in between angles … The same side interior angles are those angles that: 1) = 30 2) = 8 3) = 24 4) = 50 5) = 22 6) = 63 7) = 40 8) = 10 3 0 (2 +30) 0 7 0 ( +48) 0 (2 +38) 0 (3 –12) 0 Use the Z-test to confirm alternate angles. Learning Objectives Identify angles made by transversals: corresponding, alternate interior, alternate exterior and same-side/consecutive interior angles. Angles 4 and 5, indicated in green, are also same-side interior angles. If you can draw a Z or a 'Backwards Z' , then the alternate interior angles are the ones that are in the corners of the Z Alternate Interior Angles Theorem. Since ∠2 and ∠4 are supplementary, then ∠2 + ∠4 = 180°. Instead, we study about the alternate interior angles. Angles 3 and 6, indicated in pink, are same-side interior angles. Consecutive interior angles are interior angles which are on the same side of the transversal line. 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