Examples on Acute Angle
Example 1: Which of the following angles given in the figure 1 are acute angles? Give reason for why and why not.
Solution:
a. 45°: Yes, it is an acute angle. An acute angle is any angle smaller than 90°, and 45° falls within this range.
b. 90°: No, it is not an acute angle. An acute angle must be less than 90°, and a 90° angle is called a right angle.
c. 120°: No, it is not an acute angle. Acute angles are smaller than 90°, and 120° exceeds this limit.
d. 60°: Yes, it is an acute angle. A 60° angle is smaller than 90°, fitting the criteria for an acute angle.
Example 2: What is the sum of the interior angles in an acute triangle if one angle measures 30°, another angle measures 45°, and the third angle is 60°?
Solution:
To find the sum of the interior angles in the given acute triangle, add the measures of the three angles:
30°+45°+60°=135°.
Therefore, the sum of the interior angles in the acute triangle is 135°
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