Tell whether the angle below is acute, right, obtuse, or straight. a. Right angle b. Straight angle c. Obtuse angle d. Acute angle
The Correct Answer and Explanation is:
The correct answer is d. Acute angle.
To determine the type of angle shown in the image, we must first understand the definitions of the different angle classifications provided in the options. In geometry, angles are categorized based on their measure in degrees.
A right angle is a fundamental reference point. It measures exactly 90 degrees. A right angle forms a perfect L shape, like the corner of a square or a piece of paper.
An acute angle is any angle that measures less than 90 degrees. These angles are “sharper” or more “closed” than a right angle. For example, an angle of 30 degrees or 75 degrees would be an acute angle.
An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. These angles appear “wider” or more “open” than a right angle. An angle of 110 degrees or 150 degrees is an example of an obtuse angle.
A straight angle measures exactly 180 degrees. As its name suggests, it forms a perfectly straight line.
Now, let’s analyze the angle in the image. By visually comparing it to a right angle, we can see that it is smaller. If you were to place the corner of a square at the vertex of the angle, the two rays that form the angle would be closer together than the sides of the square. The angle is clearly more closed than a 90 degree angle, so it cannot be a right angle. Since it is smaller than a right angle, it also cannot be an obtuse angle, which is defined as being larger than 90 degrees. It is also clearly not a straight line, so it is not a straight angle.
Because the angle in the picture measures less than 90 degrees, it fits the definition of an acute angle. Therefore, the correct classification for the angle shown is an acute angle.
