Wednesday, June 23, 2010

How to solve Geometry Angles Problems

Introduction solving geometry angles problems:
Geometry is the most important branch in math. It involves study of shapes. It also includes plane geometry, solid geometry, and spherical geometry. Plane geometry involves line segments, circles and triangles. Solid geometry includes planes, solid figures, and geometric shapes. Spherical geometry includes all spherical shapes. Line segment is the basic in geometry. There are many 2D, 3D shapes.2D shapes are rectangle, square, rhombus etc. 3D sahpes are Cube, Cuboid and pyramid and so on. Basic types of angles are complementary angles and supplementary angles and corresponding angles, vertical angles.

Basic Geometric Properties Used in Solving Angles Problems:

Some important theorems used in solving geometry angles problems :
  • The sum of the complementary angles is always 90 degree.
  • The sum of the supplementary angles is always 180 degree.
  • When two parallel lines crossed by the transversal the corresponding angles are formed. Those angles are equal in measure.
  • When two lines are intersecting then the vertical angles are always equal.
  • In a parallelogram the sum of the adjacent angles are 180 degree. And the opposite angles are equal in measure.


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