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Angle Relationship

Angle Relationship. Sec 1.5 Sol: G.4c,d. Adjacent Angles. Definition: 2 angles that lie on the same plane, have a common vertex and a common side , but have no common interior points. Example: Non – Example:. A. D. C. C. B. D. B. A. No Common Vertex.

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Angle Relationship

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  1. Angle Relationship Sec 1.5 Sol: G.4c,d

  2. Adjacent Angles Definition: 2 angles that lie on the same plane, have a common vertex and a common side, but have no common interior points. Example: Non – Example: A D C C B D B A No Common Vertex

  3. Vertical Angles Definition: 2 non-adjacent angles formed by two intersecting lines. Opposite angles are congruent. Lesson 1-5: Pairs of Angles

  4. Examples:

  5. Vertical Angles Cont. Non – Example: Remember: To form a vertical pair you have to have two intersection lines.

  6. Linear Pair Definition: Is a pair of adjacent angles who’s non-common sides are opposite rays. Example: Non-example: A BDA and CDA are a linear pair B D C

  7. EX: Identify angle pairs 2 3 1 4 5 Identify the vertical pairs. Identify all the linear pairs. Identify the Adjacent angles.

  8. Complementary Angles Definition: A pair of angles whose sum is 90˚ Examples: Even when two angles are non adjacent they can be Added together to form a 90 degree angles Lesson 1-5: Pairs of Angles

  9. Supplementary Angles Definition: A pair of angles whose sum is 180˚ Examples: Adjacent supplementary angles are also called “Linear Pair.” Non-Adjacent Angles Lesson 1-5: Pairs of Angles

  10. Ex: Angle Measure Find the measure of two Complimentary angle if m1 = 2x + 3 and m2 = 3x – 8.

  11. G J (9x – 4) (4x + 7) I K H Example Suppose mGIJ = 9x – 4 and mJIH = 4x – 11. Find the value of x and mKIH.

  12. If line RU and line ST intersect at V, what is the measure of ? T R V (8x – 12) (5x + 3) U S

  13. Perpendicular Lines X Definitions: Lines that form two right angles. Symbolized By : Read “Perpendicular to” Y Z W

  14. Example:Find x and y so that are Perpendicular

  15. Assignments Classwork: WB Pg 21 1-3,6,7,9,11-16,18,26 Homework:Pg 37 1-10,16-23,25-27,29

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