Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.

Definition: Triangles are congruent when all corresponding sides and interior angles are congruent. In the simple case below, the two triangles PQR and LMN are congruent because every corresponding side has the same length, and every corresponding angle has the same measure. …

1. Why are same side interior angles congruent? The same side interior angles are NOT congruent. They are supplementary.

The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary, or add up to 180 degrees.

Linear pairs are congruent. Adjacent angles share a vertex. Adjacent angles overlap. Linear pairs are supplementary.

The sum of two angles is 180°. Therefore, linear pair of angles are adjacent angles whose non-common arms are opposite rays. Note: All adjacent angles do not form a linear pair.

Explanation: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

A linear pair is a pair of angles that share a side and a base. In other words, they are the two angles created along one line when two lines intersect. Linear pairs are always supplementary.

A pair of scissors is a classic example of Linear Pair of angles, where the flanks of scissors, which are adjacent to each other and have common vertex O, form an angle of 180 degrees. So, In a linear pair, there are two angles who have. A ladder placed against the wall is a real-life example of Linear Pair.

Can 3 angles form a linear pair? There actually are simple Let and three angles in the form of a linear triple as shown in the figure. as they form a linear pair. But and form a linear triple and they are a set of arbitrary angles forming a linear triple.

Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Supplementary angles are the pair of angles whose sum is always equal to 180 degrees. Not all supplementary angles form a linear pair. Supplementary angles don’t need to have a common vertex as the origin point. Linear pair is formed when the angles lie on the same ray and are on the same vertex.

Two obtuse angles can be adjacent. Their sum will be greater than 180∘ . Consider the following example of adjacent obtuse angles.

“Two acute angles can be adjacent angles”.

Adjacent angles add up to 180 degrees. These add up to 180 degrees (e and c are also interior). Any two angles that add up to 180 degrees are known as supplementary angles.

As we know that obtuse angle is always greater than 900. So, the sum of two obtuse angles always makes greater than 1800. ∴Sum of two obtuse angles cannot make a supplementary angle.

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

ASA (angle, side, angle) ASA stands for “angle, side, angle” and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Two polygons are congruent if they are the same size and shape – that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.