![]() That you could come up with would be that these That this line segment AB would have to be equal to 0. Essentially, youĬould call it maybe like a degenerate triangle. That the length of AB would have to be 0. Parallel all of a sudden becomes 0 degrees. ![]() Of those two lines that are definitely not Triangle, and the angle at the intersection M, we get this weird situation where we formed this That x is equal to y but that l is not parallel to We can subtract 180ĭegrees from both sides. Minus x plus 180 minus x plus z is going to be equal Of those interior angles of a triangle are going toīe equal to 180 degrees. Let's call it angle z- we know that the sum This angle, this angle and this last angle. This angle up here is x, we know that it is supplementary Happens when we just apply what we already know. The other two sides are line segmentīC and line segment AC. Sides are- I guess we could label this point of Two things are not parallel, we form ourselves a I think that's a fairĪssumption in either case. The length of that line segment is greater than 0. Or this line segmentīetween points A and B. That this is some distance, that this line is Reality, and we're assuming in either case That was a transversal, I'll just draw it over here. So if l and m are not parallel,Īnd they're different lines, then they're going to That x is equal to y and l is not parallel to m. And I want to show if theĬorresponding angles are equal, then the lines areĭefinitely parallel. If they're parallel, then theĬorresponding angles are equal. If x is equal to y, then l is parallel to m. ![]() This video is prove it the other way around. This is y So we know that if l is parallel Transversal that intersects both of them, that theĬorresponding angles are equal. They are parallel, then if we were to draw a Lines that are parallel- so let me draw those two It might be helpful to think if the geometry sets up the relationship, the angles are congruent so their measures are equal, from the algebra once we know the angles are equal, we apply rules of algebra to solve. If 4x = 36 I can then divide both sides by 4 and get x = 9 NEXT if 6x = 2x + 36 then I subtract 2x from both sides Using algebra rules i subtract 24 from both sidesĦx + 24 - 24 = 2x + 60 - 24 and get 6x = 2x + 36. that is the geometry part.now the algebra part: 6x + 24 = 2x + 60 so if one is 6x + 24 and the other is 2x + 60 we can create an equation: 6x + 24 = 2x + 60. We know that angle x is corresponding to angle y and that l || m, so the measure of angle x must equal the measure of angle y. If parallel lines are cut by a transversal (a third line not parallel to the others), then they are corresponding angles and they are equal, sketch on the left side above.
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