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