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 The same side interior angles are those angles that: Let us prove that L 1 and L 2 are parallel.. Use the Z-test to confirm alternate angles. answer choices Vertical angles Then they're on opposite sides, on alternate sides, of the transversal. Alternate interior angles don’t have any specific properties in the case of non – parallel lines. Angles 3 and 6, indicated in pink, are same-side interior angles. Learning Objectives Identify angles made by transversals: corresponding, alternate interior, alternate exterior and same-side/consecutive interior angles. But alternate exterior is that angle and that angle. A way to help identify the alternate interior angles. Instead, we study about the alternate interior angles. Alternate Interior Angles Theorem. They are supplementary (both angles add up to 180 degrees). Alternate Angles Theorem 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. Consecutive interior angles are interior angles which are on the same side of the transversal line. 4 and 5 are on the same side of that transversal. 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 Since ∠2 and ∠4 are supplementary, then ∠2 + ∠4 = 180°. These are just fancy words, but I think hopefully you have the intuition. From the above-given figure, ∠1, ∠2, ∠7, ∠8 are the alternate exterior angles. On parallel lines, alternate (or Z) angles are equal. Name : Score : Printable Math Worksheets @ www.mathworksheets4kids.com Find the value of . The Converse of Same-Side Interior Angles Theorem Proof. Angles and Transversals Many geometry problems involve the intersection of three or more lines. But, we do not study anything in specific with the alternate angles. Angles 4 and 5, indicated in green, are also same-side 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 _____. Alternate & Same Side Angles. Some people find it helpful to use the 'Z test' for alternate interior angles. So if two parallel lines are intersected by a transversal then same side, I'll say interior since this is in between angles … Well same side Interior angles would be 4 and 5, so notice we have parallel lines and the transversal. Corresponding a angles make the most sense to me. By the definition of a linear pair, ∠1 and ∠4 form a linear pair. 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. Then everything else proves out just through opposite angles and supplementary angles. By the alternate interior angles definition, the pairs of alternate interior angles in the above figure are: 1 and 3; 2 and 4; Same Side Interior Angles Definition. Alternate Angles – are angles on opposite sides of the transversal. Corresponding Angles – are angles on the same side of the transversal and also have the same degree of measurement. Let L 1 and L 2 be two lines cut by transversal T such that ∠2 and ∠4 are supplementary, as shown in the figure. 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. 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