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Angles Theorem If two parallel lines are intersected by a transversal, then same-side interior angles are supplementary. Converse of Alternate Interior Angles Theorem If two lines are intersected by a transversal and alternate interior angles are equal in measure, then the lines are parallel Converse of Alternate Exterior Angles Theorem
Complementary angles are two angles whose sum is 90°. So, the complement of 50° is (90 – 50), that is 40°. The complement of 40° is just the reverse, which is 50°. Supplementary angles are two angles whose sum is 180°. It can also be called linear pair of angles. The sum of a pair of linear angles is always 180°.
Adjacent Angles - two coplanar angles with a common side, a common vertex, and no common interior points. Vertical Angles - two angles whose sides are opposite rays. Complementary Angles - two angles whose measures have a sum of 90. Each angle is called the complement of the other.
The sum of the measures of the interior angles of a triangle is 180. The acute angles of a right triangle are complementary. The measure of each angle of an equilateral triangle is 60. The measure of one exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
the angle relationship between the angles that you are working with. Are they supplementary (sum to 180 0 ) OR complementary(sum to 90 )? Are they congruent to each other? vertical, alternate interior, alternate exterior , or corresponding angles.
two angles and the included side of a second triangle, then the two triangles are congruent. Theorems 4.1 Triangle Sum Theorem: The sum of the measures of the interior angles of a triangle is 180 o. Corollary: The acute angles of a right triangle are complementary. 4.2 Exterior Angle Theorem: The measure of an exterior angle of
Two angles form a pair of complementary angles when their sum is 90° whereas two angles form a pair of supplementary angles when their sum is 180°. In geometry, complementary angles are defined as two angles whose sum is 90 degrees. Two complementary angles when put together form a right angle.
