angle pair relationships n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Angle Pair Relationships PowerPoint Presentation
Download Presentation
Angle Pair Relationships

Loading in 2 Seconds...

play fullscreen
1 / 12

Angle Pair Relationships - PowerPoint PPT Presentation


  • 144 Views
  • Uploaded on

Angle Pair Relationships. L.T. I can identify special angle pairs and use their relationships to find angle measure. A. Vertical Angles. 1. 2. 4. 3.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

Angle Pair Relationships


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
angle pair relationships

Angle Pair Relationships

L.T. I can identify special angle pairs and use their relationships to find angle measure.

slide2

A. Vertical Angles

1

2

4

3

Previously, you learned that two angles are adjacent if they share a common vertex and side but have no common interior points. In this lesson, you will study other relationships between pairs of angles.

Two angles are vertical angles if their sides form two pairs of opposite rays.

Vertical Angle Pairs are CONGRUENT

2 and 4 are vertical angles.

1 and 3 are vertical angles.

slide3

B. Linear Pairs

5

6

Two adjacent angles are a linear pairif the form a straight line.

30°

150°

Linear Angle Pairs add up to 180°.

5 and 6 are a linear pair.

slide4

Finding Angle Measures

5

5

5

8

8

8

6

6

6

7

7

7

In the stair railing shown, 6 has a measure of 130˚. Find the measures of the other three angles.

SOLUTION

6 and 8 are vertical angles. So, they are congruent and have the same measure.

50°

m8 = m6 = 130˚

6 and 7 are a linear pair. So, the sum of their measures is 180˚.

130°

130°

130°

130°

m6 + m7 = 180˚

50°

130˚ + m7 = 180˚

m7 = 50˚

7and 5are vertical angles. So, they are congruent and have the same measure.

All 4 angles together equal 360°

slide5

C. Supplementary Angles

Definition: Two angles are supplementary if the sum of their measures is 180 degrees. Each angle is the supplement of the other.

1

2

These are supplements of each other because their angles add up to 180.

slide9

D. Complementary Angles

Definition: Two angles are complementary if the sum of their measures is 90 degrees. Each angle is the complement of the other.

1

2

These are complements of each other because their angles add up to be 90.

slide12

E. Angle Bisector

Definition: An angle bisector is a ray that divides an angle into two congruent angles. It cuts the angle in half.