What type of angle is measured at 117°?
Mathematics · Middle School · Mon Jan 18 2021
Answered on
An angle measured at 117° is categorized as an obtuse angle. This is because obtuse angles are angles that measure greater than 90° but less than 180°. Since 117° is more than 90° and less than 180°, it fits the definition of an obtuse angle.
Angles can be classified based on their measure into several types:
1. Acute Angle: An angle that measures less than 90° (so anything from just above 0° up to but not including 90°). 2. Right Angle: An angle that is exactly equal to 90°. 3. Obtuse Angle: As mentioned, an angle greater than 90° but less than 180°. 4. Straight Angle: An angle that measures exactly 180°, which looks like a straight line. 5. Reflex Angle: An angle that measures greater than 180° but less than 360°. 6. Full Angle: An angle that measures exactly 360°, making a complete cycle.
Understanding these categories helps students in geometry to classify and make calculations regarding shapes, angles, and other geometric properties. It's also integral to applications in navigation, architecture, engineering, and various scientific fields where angles play a crucial role.