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