Hence we can also conclude that when the alternate interior angles are equal, the lines intersected by the transversal will be parallel. The pair of alternate interior angles are ∠3 & ∠6 and ∠4 & ∠5. That means p ∥ q while line t is the transversal. Finally, in each diagram below, the two marked angles are called co-interior angles. In figure (b), line p and line q are coplanar and parallel Alternate Angles formed from parallel lines are equal. That means p ∦ q while line t is the transversal. (Image will be uploaded soon) Note: Alternate interior angle generally forms a z-pattern. When two nonparallel lines ( A B and C D ) are intersected by their transversal line X Y, four interior angles Y P A. These pairs are alternate interior angles. The pair of blue and pink angles denotes alternate interior angles. In figure (a), line p and line q are coplanar but not parallel Alternate interior angles are the angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. Let’s understand this concept better by analyzing the alternate interior angles formed when the intersected lines are parallel and not parallel. Hence, we can conclude that when two parallel lines are intersected by a transversal, the alternate interior angles formed are equal. Type of Angles Corresponding Angles are angles on the same side of the transversal and also have the same degree of measurement. Now ∠3 and ∠6 form a pair of alternate interior angles. We know that if a transversal intersects any two parallel lines, the pairs of corresponding angles and vertical angles formed are equal. It is the interior angle of two sides of a triangle, such that those sides are not adjacent to the exterior angle. Using the concept of corresponding angles and vertical angles, let’s derive a relationship between alternate interior angles.Ĭonsider two lines p and q such that p ∥ q
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