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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
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. If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.
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 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.
1. Find the measure of the complement and supplement of a 43 angle. 2. ⊥Given: ⃗⃗⃗⃗⃗ ⃗⃗⃗⃗⃗ , m 2 is three greater than twice m 1. Find the measure of each angle. 3. The measure of the supplement of an angle is 60 less than 3 times the measure of the complement of the angle. Find the measure of the complement.
Complementary Angles. In geometry, complementary angles are defined as two angles whose sum is 90 degrees. In other words, two angles that add up to 90 degrees are known as complementary angles. For example, if angle A is 20 degrees, then its complement angle B would be 70 degrees because 20 degrees + 70 degrees = 90 degrees.
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
