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6-4 Angle Pair Relationships_p1-8.notebook 6-4 Angle Pair Relationships 3 4 -Also called a "Linear Pair"

6-4 Angle Pair Relationships · 2021. 6. 7. · 6-4 Angle Pair Relationships_p1-8.notebook. 6-4 Angle Pair Relationships. Ex 4: Step 1: What type of angles are these? Supplementary

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Page 1: 6-4 Angle Pair Relationships · 2021. 6. 7. · 6-4 Angle Pair Relationships_p1-8.notebook. 6-4 Angle Pair Relationships. Ex 4: Step 1: What type of angles are these? Supplementary

6-4 Angle Pair Relationships_p1-8.notebook

6-4 Angle Pair Relationships

3 4

-Also called a "Linear Pair"

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Page 2: 6-4 Angle Pair Relationships · 2021. 6. 7. · 6-4 Angle Pair Relationships_p1-8.notebook. 6-4 Angle Pair Relationships. Ex 4: Step 1: What type of angles are these? Supplementary

6-4 Angle Pair Relationships_p1-8.notebook

6-4 Angle Pair Relationships

Ex 1:

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Page 3: 6-4 Angle Pair Relationships · 2021. 6. 7. · 6-4 Angle Pair Relationships_p1-8.notebook. 6-4 Angle Pair Relationships. Ex 4: Step 1: What type of angles are these? Supplementary

6-4 Angle Pair Relationships_p1-8.notebook

6-4 Angle Pair Relationships

Ex 2:

Step 1: What type of angles are these? Vertical Angles

Step 2: What do we know about vertical angles?

Vertical angles are congruent (have same measurement).

b = 32°

Ex 3:

Step 1: What type of angles are these? Complementary Angles

Step 2: What do we know about complementary angles?

Two angles whose sum = 90°

Step 3: Write and Algebraic Equation and solve

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Page 4: 6-4 Angle Pair Relationships · 2021. 6. 7. · 6-4 Angle Pair Relationships_p1-8.notebook. 6-4 Angle Pair Relationships. Ex 4: Step 1: What type of angles are these? Supplementary

6-4 Angle Pair Relationships_p1-8.notebook

6-4 Angle Pair Relationships

Ex 4:

Step 1: What type of angles are these?

Supplementary Angles or Linear Pair

Step 2: What do we know about supplementary angles (linear pairs)?

Two angles whose sum = 180°

Step 3: Write and Algebraic Equation and solve.

Ex 5:

Step 1: What is the measure of a circle?

Step 2: Write and Algebraic Equation and solve.

180° 180°360°

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Page 5: 6-4 Angle Pair Relationships · 2021. 6. 7. · 6-4 Angle Pair Relationships_p1-8.notebook. 6-4 Angle Pair Relationships. Ex 4: Step 1: What type of angles are these? Supplementary

6-4 Angle Pair Relationships_p1-8.notebook

6-4 Angle Pair Relationships

Checks for Examples 2 to 5:

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Page 6: 6-4 Angle Pair Relationships · 2021. 6. 7. · 6-4 Angle Pair Relationships_p1-8.notebook. 6-4 Angle Pair Relationships. Ex 4: Step 1: What type of angles are these? Supplementary

6-4 Angle Pair Relationships_p1-8.notebook

6-4 Angle Pair Relationships

Ex 6:

Step 1: What type of angles are these? Complementary Angles

Step 2: What do we know about complementary angles?

Two angles whose sum = 90°

Step 3: Write and Algebraic Equation and solve

84

14

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Page 7: 6-4 Angle Pair Relationships · 2021. 6. 7. · 6-4 Angle Pair Relationships_p1-8.notebook. 6-4 Angle Pair Relationships. Ex 4: Step 1: What type of angles are these? Supplementary

6-4 Angle Pair Relationships_p1-8.notebook

6-4 Angle Pair Relationships

Ex 7:

Step 1: What type of angles are these? Vertical Angles

Step 2: What do we know about vertical angles?

Vertical angles are congruent (have same measurement).

Step 3: Write and Algebraic Equation and solve

Ex 8:

Step 1: What is the measure of a circle?

360°

Step 2: Write and Algebraic Equation and solve.

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Page 8: 6-4 Angle Pair Relationships · 2021. 6. 7. · 6-4 Angle Pair Relationships_p1-8.notebook. 6-4 Angle Pair Relationships. Ex 4: Step 1: What type of angles are these? Supplementary

6-4 Angle Pair Relationships_p1-8.notebook

6-4 Angle Pair Relationships

Checks for Examples 6 to 8:

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