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Questions and Answers
What is a vertical angle?
What is a vertical angle?
Angles that are opposite from each other but are congruent.
What are adjacent angles?
What are adjacent angles?
Angles that have a vertex and a common side; they are supplementary.
What does it mean to be a supplementary angle?
What does it mean to be a supplementary angle?
Two angles that add up to equal 180.
What does it mean to be a congruent angle?
What does it mean to be a congruent angle?
What is the symbol for a congruent angle?
What is the symbol for a congruent angle?
What does it mean to be a complementary angle?
What does it mean to be a complementary angle?
Complementary angles make right angles.
Complementary angles make right angles.
What type of angle is this: 70 + 110 = ?
What type of angle is this: 70 + 110 = ?
What type of angle is this: 84 + 6 = ?
What type of angle is this: 84 + 6 = ?
What type of angle is this: 34 = 34?
What type of angle is this: 34 = 34?
If this is a vertical angle and a = 46, what does b = ?
If this is a vertical angle and a = 46, what does b = ?
If this is an adjacent angle and d = 34, what does e = ?
If this is an adjacent angle and d = 34, what does e = ?
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Study Notes
Angle Definitions
- Vertical angles are pairs of angles that are opposite each other and are congruent (equal in measure).
- Adjacent angles share a common vertex and a side, and they are supplementary, meaning their measures add up to 180 degrees.
Angle Relationships
- Supplementary angles sum to 180 degrees.
- Complementary angles sum to 90 degrees.
- Congruent angles are equal in degree measure.
Symbols and Properties
- The symbol for congruent angles is ≅.
- A pair of angles that are complementary will create a right angle.
Angle Examples
- Supplementary angle example: 70° + 110° = 180° (qualifies as adjacent).
- Complementary angle example: 84° + 6° = 90°.
- Congruent angle example: 34° = 34° (indicates vertical angles).
Angle Equations
- For vertical angles, if angle a = 46°, then angle b also equals 46°.
- For adjacent angles, if angle d = 34°, then angle e must equal 146° since they are supplementary.
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