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Questions and Answers
What is the complementary angle of 67°?
What is the complementary angle of 67°?
What is the supplementary angle of 131°?
What is the supplementary angle of 131°?
In a triangle with angles 35° and 75°, what is the measure of the third angle?
In a triangle with angles 35° and 75°, what is the measure of the third angle?
If two lines intersect forming a right angle, what is the relationship between the lines?
If two lines intersect forming a right angle, what is the relationship between the lines?
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If two angles are vertical angles and one measures 40°, what is the measure of the other vertical angle?
If two angles are vertical angles and one measures 40°, what is the measure of the other vertical angle?
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If two parallel lines are cut by a transversal, and one corresponding angle measures 65°, what is the measure of the other corresponding angle?
If two parallel lines are cut by a transversal, and one corresponding angle measures 65°, what is the measure of the other corresponding angle?
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If two angles are alternate interior angles and one measures 52°, what is the measure of the other alternate interior angle?
If two angles are alternate interior angles and one measures 52°, what is the measure of the other alternate interior angle?
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What is the measure of each exterior angle of a regular hexagon?
What is the measure of each exterior angle of a regular hexagon?
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If two angles are complementary and one angle is twice the other, what is the measure of the smaller angle?
If two angles are complementary and one angle is twice the other, what is the measure of the smaller angle?
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If two angles are supplementary and one angle is 40° more than the other, what is the measure of the larger angle?
If two angles are supplementary and one angle is 40° more than the other, what is the measure of the larger angle?
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Flashcards
Complementary Angles
Complementary Angles
Two angles that add up to 90°.
Supplementary Angles
Supplementary Angles
Two angles that add up to 180°.
Triangle Angle Sum
Triangle Angle Sum
The sum of the interior angles of a triangle is 180°.
Vertical Angles
Vertical Angles
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Corresponding Angles
Corresponding Angles
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Alternate Interior Angles
Alternate Interior Angles
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Perpendicular Lines
Perpendicular Lines
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Parallel Lines
Parallel Lines
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Intersecting Lines
Intersecting Lines
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Exterior Angle of a Polygon
Exterior Angle of a Polygon
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Study Notes
Angle Measurements
-
Complementary Angles: Complementary angles add up to 90°.
- Examples: 45°, 67°, 23°, 34°, 56°, 13°, 37°, 68°, 29°, 71°, 42°, 18°
-
Supplementary Angles: Supplementary angles add up to 180°.
- Examples: 107°, 54°, 89°, 94°, 127°, 131°, 99°, 47°, 72°, 116°, 153°, 81°
-
Triangle Interior Angles: The sum of the interior angles of a triangle is 180°.
- Examples:
- a) 50°, 60° (missing angle = 70°)
- b) 35°, 75° (missing angle = 70°)
- c) 90°, 25° (missing angle = 65°)
- d) 112°, 31° (missing angle = 37°)
- e) 44°, 88° (missing angle = 48°)
- f) 29°, 122° (missing angle = 29°)
- Examples:
Lines and Angles
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Parallel Lines: Parallel lines never meet.
-
Perpendicular Lines: Perpendicular lines meet at a 90° angle.
-
Intersecting Lines: Intersecting lines meet at any angle other than 90°.
-
Vertical Angles: Vertical angles are equal. -Example: If one vertical angle is 40°, the opposite vertical angle is also 40°. -Example: If one vertical angle is 78°, the opposite vertical angle is also 78°.
-
Corresponding Angles: Corresponding angles formed by a transversal cutting parallel lines are equal. -Example: If a corresponding angle is 65°, the other corresponding angle will also be 65°. -Example: If a corresponding angle is 98°, the other corresponding angle will also be 98°.
-
Alternate Interior Angles: Alternate interior angles formed by a transversal cutting parallel lines are equal. -Example: If one alternate interior angle is 52°, the other will also be 52°. -Example: If one alternate interior angle is 89°, the other will also be 89°.
Bonus Questions
- Exterior Angle of a Regular Hexagon: The exterior angle of a regular hexagon is 60°.
- Complementary Angles (Ratio): If two angles are complementary and one is twice the other, the angles are 30° and 60°.
- Supplementary Angles (Difference): If two angles are supplementary and one is 40° more than the other, the angles are 70° and 110°.
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Description
Explore the fundamentals of angle measurements, including complementary, supplementary, and triangle interior angles. Also, understand the properties of parallel, perpendicular, and intersecting lines. Test your knowledge with examples and concepts from geometry.
