Alternate Interior Angles Are Equal

The angles which are formed inside the two parallel lines when intersected by a transversal are equal to its alternate pairs.

Alternate interior angles are equal. There are thus two pairs of these angles. The alternate interior angles theorem states that. Angles 2 and 7 are alternate and angles 1 and 8 are alternate. In the above given figure you can see two parallel lines are intersected by a transversal.

Alternate angle theorem states that when two parallel lines are cut by a transversal then the resulting alternate interior angles or alternate exterior angles are congruent. Click on alternate interior angles to have them highlighted for you. Let ps be the transversal intersecting ab at q and cd at r. In the figure above click on other angle pair to visit both pairs of alternate interior angles in turn.

When two parallel lines are cut by a transversal the resulting alternate interior angles are congruent. Code to add this calci to your website just copy and paste the below code to your webpage where you want to display this calculator. Also like with interior angles the above exterior angles are equal when a transversal line crosses 2 parallel lines. To help you remember.

Example 1 1 i n the following triangle what size are the inside angles a b and c. This is all we need to prove that the sum of the angles in any triangle is 180 given any triangle abc. In the above diagrams d and e are alternate interior angles. Given two parallel lines ab and cd.

Then draw a line through a parallel to the side bc as shown. One way to find the alternate interior angles is to draw a zig zag line on the diagram. Theorem 6 2 if a transversal intersects two parallel lines then each pair of alternate interior angles are equal. 24 june learn about alternate corresponding and co interior angles and solve angle problems when working with parallel and intersecting lines.

Alternate interior angles are equal check here for an explanation of alternate interior angles. With each pair of alternate interior angles both angles are inside the parallel lines and on opposite alternate sides of the transversal. Interior means inside the parallel lines. To prove each pair of alternate interior angles are equal.

The angle pairs are on alternate sides of the transversal and they are on the interior of the two crossed lines. Alternate interior angles definition. When the two lines being crossed are parallel lines the alternate interior angles are equal. These angles are called alternate interior angles.