Acute Angle, Obtuse Angle and Right Angle
- Acute Angle: An acute angle is an angle whose measure is less than 90°.
- In an acute-angled triangle, all three angles are acute angles. An example of an acute angle is an angle measuring 60°.
- Obtuse Angle: An obtuse angle is an angle whose measure is greater than 90° but less than 180°.
- In an obtuse-angled triangle, one of the angles is an obtuse angle. An example of an obtuse angle is an angle measuring 120°.
- Right Angle: A right angle is an angle whose measure is exactly 90°.
- In a right-angled triangle, one of the angles is a right angle.
Acute and Obtuse Angle
Key difference between acute and obtuse angles are listed in the following table:
Acute vs Obtuse Angle |
||
---|---|---|
Characteristics |
Acute Angle |
Obtuse Angle |
Definition |
An angle whose measure is less than 90°. | An angle whose measure is greater than 90° but less than 180°. |
Angle Measure |
Less than 90° | Between 90° and 180° |
Triangle Type |
Can be found in an acute-angled triangle | Can be found in an obtuse-angled triangle |
Appearance |
Often appears sharper or narrower | Often appears wider or more open |
Relationship with right angle |
Smaller than a right angle | Larger than a right angle |
Example |
An angle measuring 60°. | An angle measuring 120°. |
Symbol |
∠ABC, where m∠ABC < 90° | ∠PQR, where 180°>∠PQR > 90° |
Read More,
What is an Acute Angle?
Acute Angle is a type of angle based on its measure, where the measure is less than 90°. Imagine the angle formed when you bend your elbow, creating a sharp but not wide opening; this is an example of an Acute Angle. In geometry, an acute angle falls within the range of 0° to 90°. These angles play a significant role in shaping various geometric figures, particularly triangles, and find applications in diverse mathematical and scientific scenarios.
In this article, we have covered the various concepts related to acute angles—definition, properties, and real-life examples of acute angle to gain a clearer understanding of their significance.
Table of Content
- What is an Acute Angle?
- Properties of Acute Angle
- Triangle Properties of Acute Angle
- Formula of Acute Angle
- Acute Angle in Various Shapes
- Real Life Example of Acute Angle