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Pairs of Angles. When parallel lines get crossed by another line (which is called a Transversal ), you can see that many angles are the same, as in this example: These angles can be made into pairs of angles which have special names. Click on each name to see it highlighted: Now play with it here.
Parallel lines are lines in the same plane that go in the same direction and never intersect. When a third line, called a transversal, crosses these parallel lines, it creates angles. Some angles are equal, like vertical angles (opposite angles) and corresponding angles (same position at each intersection). Created by Sal Khan.
180^o 180o: Sometimes called ‘C ‘C angles’. What are angles in parallel lines? Key angle facts. To explore angles in parallel lines we will need to use some key angle facts. Angles on a straight line. x+y=180^o x + y = 180o. (The sum of angles on a straight line equals 180^o 180o) Angles around a point. e+f+g+h=360^o e + f + g + h = 360o.
Video transcript. Let's do a couple of examples dealing with angles between parallel lines and transversals. So let's say that these two lines are a parallel, so I can a label them as being parallel. That tells us that they will never intersect; that they're sitting in the same plane.
Find x and the marked angles: Solution. ∠BEF = 3x + 40 ∘ because vertical angles are equal. ∠BEF and ∠DFE are interior angles on the same side of the transversal, and therefore are supplementary because the lines are parallel. 3x + 40 + 2x + 50 = 180 5x + 90 = 180 5x = 180 − 90 5x = 90 x = 18.
When the lines are parallel, the measures are equal. ∠1 and ∠2 are alternate interior angles. ∠3 and ∠4 are alternate interior angles. Alternate interior angles are " interior " (between the parallel lines), and they " alternate " sides of the transversal. Notice that they are not adjacent angles (next to one another sharing a vertex).
Parallel lines are lines in a plane which do not intersect. Like adjacent lanes on a straight highway, two parallel lines face in the same direction, continuing on and on and never meeting each other. In the figure in the first section below, the two lines \ (\overleftrightarrow {AB}\) and \ (\overleftrightarrow {CD}\) are parallel.
