# Angles Supplementary Complementary Adjacent Vertical

Elbow Supplementary Supplementary Supplementary Supplementary Supplementary Adjoining Vertical

Associated angles |Complementary|Complementary|Additional|Neighbouring|Linear pairs|Examples Angles are related to angle couples and special designations are given to the angle couples we encounter. They are referred to as related angles because they are related to a certain state. Complimentary angles: Angles are referred to as complementary angles when the total of the dimensions of two angles is 90°.

A 30° and 60° angles are complementary angles to each other. In addition, the complementary of 30° is 90° - 30° = 60°. Additional angles: These angles are referred to as additional angles if the total of the dimensions of two angles is 180°. A 120° and 60° angles are complementary angles to each other.

The addition of 120° is also 180° - 120° = 60°. Adjoining angles: The two angles in a plain shall be adjacent when they have a joint limb, a joint apex, and the non-common limb on the opposite side of the joint limb. Throughout the given picture AOC and BOC are adjacent angles since OC is the joint branch, O is the joint node and OA, OB are on the opposite side of OC.

The two adjacent angles make a straight angle couple if their unusual branches are two opposite beams, i.e. the total of two adjacent angles is 180°. Vertical opposite angles: At the intersection of two vertical axes, the angles of their opposite axes are referred to as vertical opposite angles. Pairs of vertical opposite angles are the same.

These are the vertical opposite angle couples ?AOD and ?BOC, ?AOC and ?BOD. Related Angle Theorems: 1. When a beam is on a line, the total of the adjacent angles is 180°. Addition of (1) and (2), 2. The total of all angles around a point is 360°.

One point and beams OR and OR, OQ, OR, OS, TDC, which form angles around OR. Add (i) and (ii), 3. if two intersecting line, then the vertical opposite angles are the same. The PQ and RS overlap at point OK. Proof: