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Complementary and Supplementary Angles

Complementary and Supplementary Angles. Complementary Angles. Two angles are complementary if the sum of their angles equals 90*. If one angle is known, its complementary angle can be found by subtracting the measure of its angle from 90*. Example of Complementary Angles.

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Complementary and Supplementary Angles

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  1. Complementary and Supplementary Angles

  2. Complementary Angles • Two angles are complementary if the sum of their angles equals 90*. • If one angle is known, its complementary angle can be found by subtracting the measure of its angle from 90*.

  3. Example of Complementary Angles • What is the complementary angle of 43*? • SOLUTION: 90* - 43* = 47* • So, 43* and 47* are complementary angles • Angle A measures 25* and Angle B measures 65*. Angle A and Angle B are complementary angles because together they create a 90* angle. • JUSTIFICATION: 25* + 65* = 90*

  4. How can I remember that? • Draw the C in Complementary C • Since complementary angles equal 90*, turn that C into a number 9 by drawing a line, then add a 0 after that to make it 90. • So you change the C in complementary into 90*!! C C C

  5. Another way to remember… • Just remember this phrase: “It is always RIGHT to give COMPLIMENTS” • A RIGHT angle is 90* and COMPLIMENT and COMPLEMENTARY sound alike

  6. http://www.mathopenref.com/anglecomplementary.html Click on the link below to manipulate different angles that are Supplementary.

  7. Supplementary Angles • Two angles are supplementary if the sum of their angles equals 180*. • If one angle is known, its supplementary angle can be found by subtracting the measure of its angle from 180*.

  8. Example of Supplementary Angles • What is the supplementary angle of 143*? • SOLUTION: 180* - 143* = 37* • Angle A measures 120* and Angle B measures 60*. Angle A and Angle B are complementary angles because together they create a 180* angle. • JUSTIFICATION: 120* + 60* = 180*

  9. How can I remember that? • Draw the S in Supplementary S • Since supplementary angles equal 180*, turn that S into a number 8 by drawing a line diagonal, then add a 1 in front of that and a 0 after to make it 180. • So you change the S in supplementary into 180*!! S S 1S0*

  10. http://www.mathopenref.com/anglesupplementary.html Click on the link below to manipulate different angles that are Supplementary.

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