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Two angles are complementary angles if they add up to _____ degrees. They do not have to be next to each other. When two lines intersect, four angles are created to having a point of intersection at the _____. The angles that are _____ from each other are considered to be vertical angles. They are also _____.
The sum of the measure of the angles of a triangle is 180o Corollary The acute angles of a right triangle are complementary. Exterior angle theorem An exterior angle of a triangle is equal in measure to the sum of the measures of its two remote interior angles. Triangle Proportionality Theorem
Definition In a protractor geometry {P, L, d, m}, we say ∠ABC is an acute angle if m(∠ABC) < 90, a right angle if m(∠ABC) = 90, and an obtuse angle if m(∠ABC) > 90. We say angles ∠ABC and ∠DEF are supplementary if. m(∠ABC) + m(∠DEF ) = 180. and we say angles ∠ABC and ∠DEF are complementary if. m(∠ABC) + m(∠DEF ) = 90.
Problems on complementary and supplementary angles are most easy to solve if you just remember the numbers 90 and 180. With the definitions given below, you will know how these numbers have been used in angles. You have ample problems to identify and calculate the missing measure of angles.
The acute angles of a right triangle are complementary. The measure of each angle of an equiangular triangle is 600. = mZB = — 600 Theorem 4-2-4 Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles. mZ4 = mZ1 + mZ 3 4 The remote interior angles of L4 are Ll and 2
Complementary are complementary angles because the40° angles TWO angles that add up to 90° , for example. and b angles 50° and in the triangle add up to 180°. are adjacent complementary angles because they lie next to each other, forming a right angl.
Corollary: The acute angles of a right triangle are complementary. 4.2 Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. 4.3 Third Angles Theorem: If two angles of one triangle are congruent to two angles of another triangle, then the third
