Which of the following best defines an obtuse angle?

Which of the following best defines an obtuse angle?

• A. An angle that measures exactly 90 degrees
• B. An angle that measures less than 90 degrees
• C. An angle that measures more than 90 degrees but less than 180 degrees
• D. An angle that measures exactly 180 degrees

Answer: (C)

An obtuse angle is defined as an angle that measures more than 90 degrees but less than 180 degrees. This means that when you take a protractor and measure the angle, the reading will fall within this specific range. In terms of visualizing angles, consider that an angle of exactly 90 degrees is a right angle, which forms a perfect "L" shape. Any angle that exceeds 90 degrees will begin to open wider, moving toward a straight line, which is measured at 180 degrees. Therefore, an obtuse angle occupies that space between the right angle and a straight angle, demonstrating its defining characteristic. Understanding angles in relation to these specific measures helps clarify the distinction among right, acute, obtuse, and straight angles, reinforcing the concept of angles and their classifications in geometry.

An obtuse angle is defined as an angle that measures more than 90 degrees but less than 180 degrees. This means that when you take a protractor and measure the angle, the reading will fall within this specific range.

In terms of visualizing angles, consider that an angle of exactly 90 degrees is a right angle, which forms a perfect "L" shape. Any angle that exceeds 90 degrees will begin to open wider, moving toward a straight line, which is measured at 180 degrees. Therefore, an obtuse angle occupies that space between the right angle and a straight angle, demonstrating its defining characteristic.

Understanding angles in relation to these specific measures helps clarify the distinction among right, acute, obtuse, and straight angles, reinforcing the concept of angles and their classifications in geometry.