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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 _____.
Problem 1 : Angles A and B are complementary. If m∠A = 3x - 8 and m∠B = 5x + 10, what is the measure of each angle ? Solution : Since angles A and B are complementary, m∠A + m∠B = 90. 3x - 8 + 5x + 10 = 90. 8x + 2 = 90. Subtracting 2 on both sides. 8x = 90 - 2. 8x = 88. Dividing by 8 on both sides. x = 88/8. x = 11.
In geometry, complementary angles are defined as two angles whose sum is 90 degrees. Two complementary angles when put together form a right angle. Learn the differences between complementary and supplementary 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. If two angles are complements of the same angle (or of congruent angles), then the two angles are congruent. Congruent Supplements Theorem. If two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent. Right Angles Theorem. All right angles are congruent.
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