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.

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Presentation transcript:

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: B A D C A C D B No Common Vertex

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

Examples:

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

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

EX: Identify angle pairs Identify the vertical pairs. 2.Identify all the linear pairs. 3.Identify the Adjacent angles.

Lesson 1-5: Pairs of Angles9 Complementary Angles A pair of angles whose sum is 90˚Definition: Examples: Even when two angles are non adjacent they can be Added together to form a 90 degree angles

Lesson 1-5: Pairs of Angles10 Supplementary Angles A pair of angles whose sum is 180˚Definition: Examples: Adjacent supplementary angles are also called “Linear Pair.” Non-Adjacent Angles

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

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

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

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

Example: Find x and y so that are Perpendicular

Assignments Classwork: WB Pg ,6,7,9,11-16,18,26 Homework:Pg ,16-23,25-27,29