Definition of Obtuse Angle
Any angle greater than 90° and smaller than 180° is called an Obtuse Angle.
More About Obtuse Angle
- An angle of 90° is called a right angle.
- An angle of 180° is called a straight angle.
Example of Obtuse Angle
The angle shown in the figure is greater than 90° but smaller than 180°, so it is an obtuse angle.
Video Examples: Acute and Obtuse Angles in Geometry
Solved Example on Obtuse Angle
Ques: Identify the obtuse angle in the given triangle.
C. ? BAC
Correct Answer: B
Step 1: An angle greater than a right angle and less than a straight angle (> 90° and < 180?)="" is="" called="" an="" obtuse="">
Step 2: In the given figure, ?A and ?C are acute angles and ?B is an obtuse angle.
Step 3: So, ?ABC is an obtuse angle.