Geometry: Relationships Among Special Angle Pairs
This is a free lesson from our course in Geometry
 
   
This lesson explains beyond; what is learnt so far about basic geometric figures and classifying angles according to their measures, about more complex geometric relationships. You’ll learn many real-world examples of geometric figures and special angle pairs relationships. The presentation by the instructor will be done in own handwriting, using video and with the help of several examples with solution. To easily understand special angle relationships, it is important to recall distinguishing different types of angles and then enhance skills by learning about the complexity involved. In this lesson you will learn with the help of video about three important special angle relationships. (More text below video...)
<h2> Geometry - Relationships Among Special Angle Pairs</h2> <p> point, degree, angle, measure, interior angle, exterior angle, endpoint, ray, video, acute, right, straight, obtuse, vertex, adjacent, complementary, supplementary, solution, geometry help, linear pair, geometry tutorials, quizzes</p> <p> The classification of angles i.e. alternate interior angle are pairs of congruent angles on opposite sides of the transversal and between the parallel line. </p>
Other useful lessons:
Identifying Special Angle Pairs
(Continued from above) Here are a few more angle definitions: congruent angles are angles that have the same measure. E.g. If ABC and DEF have the same measure; you may say that ABC and DEF are congruent angles. It can be represented symbolically, ABC DEF. A bisector of an angle is a ray whose endpoint is the vertex of the angle, and that divides that angle into two congruent angles. E.g. if BD is the bisector of ABC, then ABD DBC and both of them have the same measure.
Adding and subtracting angles: if D is a point in the interior of ABC and ABC is not a straight angle, then ABC is the sum of two angles, ABD and DBC.
Remember: in cases of special angle relationships-
• complementary angles are angle pairs, whose sum measures to 90°.
• supplementary angles are angle pairs, whose sum measures to 180° .
Line and Angle relationship: When the lines intersect, some special angle relationships occur. For example: Vertical angles are the opposite angles formed by intersecting lines and they are.
When the parallel lines are intersected by a transversal, all the acute angles formed are congruent, and also all the obtuse angles formed are congruent.
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