Example 1.Name all angles with B as a vertex. 2. Name the sides of angle 5. 3. Write another name for angle 6.

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Presentation transcript:

Example 1.Name all angles with B as a vertex. 2. Name the sides of angle 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: 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. A pair of angles whose sides form opposite rays. 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:

EX 1: 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

Example 2 Find 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.

Lesson 1-5: Pairs of Angles12 Supplementary Angles A pair of angles whose sum is 180˚Definition: Examples: Adjacent supplementary angles are also called “Linear Pair.” Non-Adjacent Angles

Example 4 Find the value of x and the measure of each angle (3x-1)° (2x+6)°

Ex 5: Angle Measure Find the measure of two Complimentary angle if the difference in the measures of the two angles is 12.

Perpendicular Lines Definitions: Lines that form two right angles. Symbolized By :

Perpendicular Lines Definitions: Lines that form two right angles. Can intersect to form 4 right angles Intersect to form congruent adjacent angles. Segments and rays can be perpendicular to lines or other segments and rays. When you see a right angle symbol it represents perpendicular lines. Symbolized By : Read “Perpendicular to”

Example 6 X Z W Y

Example 7: Find x and y so that are Perpendicular