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Tool Bag Formulas, equations, Vocabulary, etc.

Goal: I will be able to. solve for unknown angles in supplementary. and complimentary angles. Tool Bag Formulas, equations, Vocabulary, etc. Here’s How…Notes & Examples. Vocabulary. Point. A. point A. names a location. AOC. Line. g.

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Tool Bag Formulas, equations, Vocabulary, etc.

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  1. Goal: I will be able to solve for unknown angles in supplementary and complimentary angles. Tool Bag Formulas, equations, Vocabulary, etc. Here’s How…Notes & Examples Vocabulary Point A point A names a location. AOC Line g is perfectly straight and extends forever in both directions. Line g or BC C B Segment is the part of a line between two points. E DE D Ray is a part of a line that starts at one point and extends forever in one direction. G FG F A Angle is formed by two rays with a common endpoint (vertex) O C

  2. Adjacent Angles Vertical, Vertically Opposite Perpendicular A O C 90° B

  3. a° + b° = c° s add vert. s a° = b°

  4. a° + b° = 180° s on a line s at a point a°+b°+c° = 360°

  5. With your partner 1) determine any pair of angles that add to 90° 2) one person draw the angles adjacent to each other 3) one person draw the angles NOT adjacent to each other 4) determine any pair of angles that add to 180° 5) one person draw the angles adjacent to each other 6) one person draw the angles NOT adjacent to each other Try to determine your own definition of the following: If the sum of the measurements of two angles is 90°, then the angles are called complementary; each angle is called a complement of the other. If the sum of the measurements of two angles is 180°, then the angles are called supplementary; each angle is called a supplement of the other.

  6. Exercise 1 In a complete sentence, describe the relevant angle relationships in the diagram. Write an equation for the angle relationship shown in the figure and solve for . Confirm your answers by measuring the angle with a protractor. The angles x° and 22° are supplementary and add to 180° x + 22 = 180 x + 22 - 22 = 180 - 22 x = 158 The measure of the angle is 158°

  7. Word Problem Vocabulary Name the operation to use for the following words: Addition more than increased by exceeds by greater than Subtraction less than decreased by Multiplication times twice product of doubled Division half of out of ratio of one third of What does it mean for two complementary angle measurements to be in a ratio of 1:4? A ratio of 1:4 can be represented as follows: x 90 4x x + 4x = 90 5x = 90 x = 18

  8. Example 1 The measures of two supplementary angles are in the ratio of 2:3 . Find the two angles. 2x 180 3x 2x + 3x = 180 5x = 180 x = 36 Exercises 2-4 Work with your partner and solve.

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