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## Example

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**Example**Name all angles with B as a vertex. 2. Name the sides of angle 5. 3. Write another name for angle 6.**Example**Classify each angle as right, obtuse, acute or straight. 1. Angle TYV 2. Angle WYT 3. Angle TYU 4. angleTYX**Angle Relationship**Sec 1.5 Sol: G.3 and G.11**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**Vertical Angles**Definition: 2 non-adjacent angles formed by two intersecting lines. A pair of angles whose sides form opposite rays. Examples: Lesson 1-5: Pairs of Angles**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:**EX 1: Identify angle pairs**2 3 1 4 5 Identify the vertical pairs. Identify all the linear pairs. Identify the Adjacent angles.**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**Example 2Find the value of x and the measure of each angle**(3x+6)° (x-4)°**Example 3-**The measure of two complimentary angles are 16z-9 and 4z+3. Find the measures of the two angles.**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**Example 4Find the value of x and the measure of each angle**(2x+6)° (3x-1)°**Perpendicular Lines**Definitions: Lines that form two right angles. Symbolized By :**Example 6**X Y Z W**Example 7:Find x and y so that are**Perpendicular