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