Podcast
Questions and Answers
What is an angle less than 90° called?
What is the unit of angle measurement in terms of the radius of a circle?
What are two angles whose sum is 90° called?
What is an angle equal to 360° called?
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What is 1/60 of a degree?
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What are two angles formed by two intersecting lines, opposite each other, and equal in measure called?
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What is an angle greater than 180° but less than 360° called?
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What are angles that are on opposite sides of a transversal and inside the two lines intersected by the transversal called?
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What is the range of angle measurement for a circular protractor?
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What is the purpose of aligning one of the zero edges of the protractor with one of the arms of the angle?
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What type of angle is 75°?
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What is the term for two angles that have the same measure?
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What is the term for two angles that share a common vertex and side, but have no common interior points?
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What type of protractor would be used to measure an angle of 210°?
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What is the term for two angles that add up to 180°?
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Study Notes
Types of Angles
- Acute Angle: An angle less than 90°
- Right Angle: An angle equal to 90°
- Obtuse Angle: An angle greater than 90° but less than 180°
- Straight Angle: An angle equal to 180°
- Reflex Angle: An angle greater than 180° but less than 360°
- Complete Angle: An angle equal to 360°
- Zero Angle: An angle equal to 0°
Angle Measurement
- Degree: The unit of angle measurement, where 1° is 1/360 of a complete circle
- Minute: 1/60 of a degree
- Second: 1/60 of a minute
- Radian: A unit of angle measurement in terms of the radius of a circle, where 1 radian is the angle subtended at the center of a circle by an arc equal in length to the radius of the circle
- Conversion: 1 radian = 180/π degrees, 1 degree = π/180 radians
Angle Properties
- Complementary Angles: Two angles whose sum is 90°
- Supplementary Angles: Two angles whose sum is 180°
- Adjacent Angles: Two angles that share a common vertex and a common side
- Vertical Angles: Two angles formed by two intersecting lines, opposite each other, and equal in measure
- Corresponding Angles: Angles that are in the same relative position on two different lines intersected by a transversal
- Alternate Interior Angles: Angles that are on opposite sides of a transversal and inside the two lines intersected by the transversal
Types of Angles
- Acute angles are less than 90°
- Right angles are exactly 90°
- Obtuse angles are greater than 90° but less than 180°
- Straight angles are exactly 180°
- Reflex angles are greater than 180° but less than 360°
- Complete angles are exactly 360°
- Zero angles are exactly 0°
Angle Measurement
- Degrees are the units of angle measurement, with 1° being 1/360 of a complete circle
- Minutes are 1/60 of a degree
- Seconds are 1/60 of a minute
- Radians are a unit of angle measurement in terms of the radius of a circle
- 1 radian is equal to 180/π degrees, and 1 degree is equal to π/180 radians
Angle Properties
- Complementary angles add up to 90°
- Supplementary angles add up to 180°
- Adjacent angles share a common vertex and side
- Vertical angles are formed by two intersecting lines, are opposite each other, and are equal in measure
- Corresponding angles are in the same relative position on two different lines intersected by a transversal
- Alternate interior angles are on opposite sides of a transversal and inside the two lines intersected by the transversal
Angle Measurement with Protractors
- A protractor is a circular or semi-circular tool used to measure angles in degrees.
- There are two types of protractors: circular protractors that measure angles from 0° to 360°, and semi-circular protractors that measure angles from 0° to 180°.
- To use a protractor, place the center of the protractor on the vertex of the angle, align one of the zero edges with one of the arms of the angle, and read the angle measure where the other arm of the angle intersects the protractor.
Angle Classification
Types of Angles
- Acute angles are less than 90°.
- Right angles are exactly 90°.
- Obtuse angles are greater than 90° but less than 180°.
- Straight angles are exactly 180°.
- Reflex angles are greater than 180° but less than 360°.
Pairs of Angles
- Complementary angles are two angles that add up to 90°.
- Supplementary angles are two angles that add up to 180°.
- Congruent angles are two angles that have the same measure.
- Adjacent angles are two angles that share a common vertex and side, but have no common interior points.
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Description
This quiz covers the different types of angles, including acute, right, obtuse, straight, reflex, complete, and zero angles. It also touches on angle measurement units such as degrees and minutes.
