Other than alternate exterior angles, we have some other groups of angles formed under this arrangement. Now, we shall learn about the alternate interior angle theorem that is also one of the basic properties of alternate interior angles.ĭifferent pairs of angles made by a Transversal Another pair of alternate exterior angles in this figure is ∠ 1 and ∠ 7. In the above figure, ∠ 2 and ∠ 8 form a pair of alternate exterior angles. DefinitionĪ pair of angles in which one arm of each of the angles is on opposite sides of the transversal and whose other arms are directed in opposite directions and do not include segment PQ is called alternate exterior angles in a transversal. Let us understand what we mean by alternate exterior angle.
One of these groups is alternate exterior angles. There are different groups formed by these 8 angles.
Therefore, in the above figure, angles 6, 4, 5 and 6 are interior angles.Ĭlearly, lines l and m make eight angles with the transversal n, four at P and four at Q. The angles whose arms include the line segment PQ are called interior angles. Therefore, in the above figure, angles 1, 2, 7 and 8 are exterior angles. The angles whose arms do not include the line segment PQ are called exterior angles. Symbolically, two parallel lines l and m are written as l || m. Thus we can define parallel lines as – “Two lines l and m in the same plane are said to be parallel lines of they do not intersect when produced indefinitely in either direction.” There can be many lines in a plane, some of which may intersect each other while some may not intersect when produced in either direction. Using External Alternate Angle Theorem to find missing angles?īefore we understand what we mean by alternate interior angles, we must first recall the basic concepts and terms that are integral to the understanding of alternate interior angles.Real Life Applications of Alternate Exterior Angles.Alternate Interior Angles in a Transversal.Angles Made by a Transversal with Two Lines.
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