What type of angle is shown?
A right angle B obtuse angle C acute angle
The Correct Answer and Explanation is:
The angle shown in the image is less than 90°, which means it is an acute angle.
Correct Answer:
C) acute angle
The angle shown in the image is formed by two rays meeting at a common point called the vertex. To determine the type of angle, we consider its measure in degrees. Angles are classified into different categories based on their size:
- A right angle measures exactly 90 degrees and usually has a small square mark at the vertex to indicate that it is a perfect right angle.
- An obtuse angle measures greater than 90 degrees but less than 180 degrees, making it a wide or open angle.
- An acute angle measures more than 0 degrees but less than 90 degrees, making it smaller and sharper than a right angle.
In the given figure, the angle clearly measures less than 90 degrees. It is not marked with the square that represents a right angle, and it is not wide enough to be an obtuse angle. Therefore, the angle falls in the category of an acute angle.
Acute angles are common in everyday life. Examples include the tip of a slice of pizza or the hands of a clock at 10:10. These angles are often used in geometry problems to form triangles, especially in acute-angled triangles where all angles are less than 90 degrees.
Identifying angle types is essential in geometry because it helps determine properties of shapes, calculate missing angles, and solve real-world design problems. Acute angles play a critical role in construction, art, and architecture because of their sharp and precise nature.
In conclusion, the angle shown is an acute angle because its measure is less than 90 degrees. This classification is important for understanding geometric figures and for applying angle properties in problem-solving.