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  1. 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.

  2. Complementary angles : Two angles are complementary, if the sum of their measures is equal to 90. Supplementary angles : Two angles are supplementary angles if the sum of their measures is equal to 180 degrees. Problem 1 : Angles A and B are complementary.

  3. When looking for the value of x or an angle measurement that consists of algebraic expressions in a diagram such as the ones you see on this page, you must set up an equation to answer the problem. To do this, you must know the angle relationship between the angles that you are working with.

  4. As per the complementary angles theorem, `∠3` is congruent to `∠2` and must also have a measure of `28°`. Solved Examples. Example `1`: If the measure of angle `XYZ` is `40` degrees, what is the measure of its complement? Solution: The measure of angle `XYZ = 40` degrees. Complement angle `= 90° -` Measure of `∠XYZ` `= 90° - 40°` `= 50°`

  5. These worksheets will help students understand and practice calculating the measures of angles that sum to specific values. Complementary angles are two angles whose measures add up to 90 degrees, while supplementary angles are two angles whose measures add up to 180 degrees.

  6. Utilize our printable complementary and supplementary angles worksheets to help build your child's skill at identifying complementary and supplementary angles, finding the unknown angles, using algebraic expressions to find angular measures, and more.

  7. COMPLEMENTARY AND SUPPLEMENTARY ANGLES WORD PORBLEMS WORKSHEET. 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. Problem 2 : Angles Q and R are supplementary. If m∠Q = 4x + 9 and m∠R = 8x + 3, what is the measure of each angle ? Solution. Problem 3 :