Podcast
Questions and Answers
What is the complement of a 35 degree angle?
What is the complement of a 35 degree angle?
55 degrees
Two angles are called ______ if their sum is 90 degrees.
Two angles are called ______ if their sum is 90 degrees.
complementary
Which pair of angles are supplementary?
Which pair of angles are supplementary?
- 110 degrees and 70 degrees
- 130 degrees and 50 degrees (correct)
- 45 degrees and 45 degrees
- 20 degrees and 70 degrees
The supplement of a 120 degree angle is 60 degrees.
The supplement of a 120 degree angle is 60 degrees.
Match each angle with its correct definition.
Match each angle with its correct definition.
If two angles are supplementary and one angle is decreased, what happens to the other angle?
If two angles are supplementary and one angle is decreased, what happens to the other angle?
Can two obtuse angles be supplementary?
Can two obtuse angles be supplementary?
A 90 degree angle is its own complement.
A 90 degree angle is its own complement.
What is the complementary angle of an angle greater than 45°?
What is the complementary angle of an angle greater than 45°?
Vertical opposite angles are always equal.
Vertical opposite angles are always equal.
What are adjacent angles?
What are adjacent angles?
If two angles are supplementary, then the sum of their measures is ______.
If two angles are supplementary, then the sum of their measures is ______.
Match the following angles with their properties:
Match the following angles with their properties:
Two angles forming a linear pair are always complementary.
Two angles forming a linear pair are always complementary.
What is the relationship between vertically opposite angles?
What is the relationship between vertically opposite angles?
If two lines intersect at a point, then the vertically opposite angles are always ______.
If two lines intersect at a point, then the vertically opposite angles are always ______.
Identify the pair of angles that do not form a linear pair.
Identify the pair of angles that do not form a linear pair.
Flashcards
Complementary Angles
Complementary Angles
Two angles are called complementary angles if the sum of their measures is 90 degrees.
Supplementary Angles
Supplementary Angles
Two angles are called supplementary angles if the sum of their measures is 180 degrees.
Supplementary Angle Relationship
Supplementary Angle Relationship
If one angle of a pair of supplementary angles is decreased, the other angle must be increased by the same amount to maintain their sum as 180 degrees.
Angle Equal to its Complement
Angle Equal to its Complement
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Angle Equal to its Supplement
Angle Equal to its Supplement
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Supplementary Acute Angles
Supplementary Acute Angles
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Supplementary Obtuse Angles
Supplementary Obtuse Angles
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Supplementary Right Angles
Supplementary Right Angles
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Adjacent angles
Adjacent angles
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Linear Pair
Linear Pair
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Vertically opposite angles
Vertically opposite angles
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Obtuse angle
Obtuse angle
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Acute angle
Acute angle
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Reflex angle
Reflex angle
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Vertical angles and their relationship
Vertical angles and their relationship
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Complement of an angle
Complement of an angle
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Study Notes
Complementary Angles
- Complementary angles add up to 90°.
- Example: 20° and 70° (90° - 20° = 70°)
Supplementary Angles
- Supplementary angles add up to 180°.
- Example: 105° and 75° (180° - 105° = 75°)
Identifying Complementary and Supplementary Pairs
- Determine if pairs of angles are complementary (sum is 90°) or supplementary (sum is 180°).
Angles Equal to Their Complements/Supplements
- An angle equal to its complement is 45°.
- An angle equal to its supplement is 90°.
Supplementary Angles and Decreasing One Angle
- If one supplementary angle decreases, the other must increase by the same amount to maintain the sum of 180°.
Types of Angles in Supplementary Pairs
- Two acute angles cannot be supplementary.
- Two obtuse angles cannot be supplementary.
- Two right angles are supplementary.
Complementary Angles and Values
- If an angle is greater than 45°, its complement is less than 45°.
Adjacent and Vertically Opposite Angles
- Adjacent angles share a common vertex and side.
- Vertically opposite angles are formed by intersecting lines.
- Linear pairs are adjacent and form a straight line (180°).
Identifying Angle Pairs
- Use the given diagrams to identify pairs of angles (adjacent, vertically opposite, complementary, supplementary, linear pairs).
Identifying Properties of Angles
- Analyze figures and identify various relationships between angles.
Angle Values in Figures
- Use principles (e.g., vertically opposite angles are equal, adjacent angles on a straight line add up to 180°) to find unknown angles.
Summary of Terms
- Complementary - Angles that add up to 90°.
- Supplementary – Angles that add up to 180°.
- Adjacent angles - Angles that share a common vertex and side.
- Vertically opposite angles - Angles opposite each other when two lines intersect.
- Linear pair - Two adjacent angles that form a straight line (180°).
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