Define the following:
1. Angle
2. Acute Angle
3. Obtuse Angle
4. Reflex Angle
5. Straight Angle
6. Right Angle
Need short definitions (not long)
Answers
Answer:
1. Acute Angle:
An angle whose measure is less than 90° is called an acute angle.
In other words, an angle measuring between 0° to 90° is called an acute angle. ∠ABC in the given figure is an acute angle.
Acute Angle
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∠MON shown in adjoining figure is equal to 60°. So, ∠MON is an acute angle.
2. Right Angle:
An angle whose measure is 90° is called right angle.
In other words, an angle which measure exactly 90° is called a right angle.
Two lines that meet at a right angle are called perpendicular lines.
Right Angle
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In the above figure, ∠AOB is a right angle. In this case, we say that the arms OA and OB are perpendicular to each.
Therefore, ∠AOB shown in adjoining figure is 90°.
So, ∠AOB is a right angle.
3. Obtuse Angle:
An angle whose measure is greater than 90° but less than 180° is called an obtuse angle.
In other words, an angle measuring between 90° to 180° is called an obtuse angle.
Obtuse Angle
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∠DOQ shown in the above figure is an obtuse angle.
4. Straight Angle:
An angle whose measure is 180° is called a straight angle.
In other words, an angle which measures exactly 180° is called a straight angle.
Straight Angle
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∠XOY shown in the above figure is a straight angle.
A straight angle is equal to two right angles.
5. Reflex Angle:
An angle whose measure is more than 180° but less than 360° is called a reflex angle.
Reflex Angle
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∠AOB shown in the above figure is 210°.
So, ∠AOB is a reflex angle
- Angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.
- An Acute Angle is less than 90°. This is an acute angle. All the angles below are acute angles: Also: the letter "A" has an acute angle. Remember to look carefully at which angle you are being asked to name: The acute angle is the small angle which is less than 90°.
- In Mathematics, “ an obtuse angle is an angle which is greater than 90 ° and less than 180 °”. In other words, an obtuse angle is between a right angle and a straight angle. From the figure, it is noted that the smaller angle is called the obtuse angle, and the larger angle formed is called the reflex angle.
- A reflex angle is an angle which is more than 180 degrees and less than 360 degrees. In geometry, there are different types of angles such as acute, obtuse and right angle, which are under 180 degrees. An acute angle is the smallest angle measuring between 0 to 90 degrees, whereas the obtuse angle measures between 90 and 180 degrees.
- The straight angle measured clockwise is a negative straight angle i.e.-180°. In geometry, a straight angle is an angle, whose vertex point has a value of 180 degrees. Basically, it forms a straight line, whose sides lie in opposite directions from the vertex.
- In geometry and trigonometry, a right angle is an angle of exactly 90 ° (degrees), corresponding to a quarter turn. If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles.