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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.
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.
Complementary angles are a pair of angles that, when added together, equal 90°. In simpler terms, if you have ∠1 and ∠2, and their measures sum up to 90°, then ∠1 and ∠2 are considered complementary. We refer to ∠1 and ∠2 as each other's complements based on this relationship.
Congruent Complements Theorem These work in a similar fashion. If angles are complementary to the same angle, then they are congruent. If angles are complementary to congruent angles, th en they are congruent.
4) The complementary angle of 54° is 36° 5) The complementary angle of 85° is 5° 6) The complementary angle of 84° is 6° 7) The complementary angle of 44° is 46° 8) The complementary angle of 60° is 30° 9) The complementary angle of 34° is 56° 10) The complementary angle of 63° is 27° 11) The supplementary angle of 121° is 59°
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.
Learn Practice Download. 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.
