obtuse angle


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.

Solved Example on Obtuse Angle

Identify the obtuse angle in the given triangle.

Choices:
A. ∠ACB
B. ∠ABC
C. ∠ BAC
D. ∠CAB
Correct Answer: B
Solution:
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.

Related Terms for Obtuse Angle

  • Acute Angle
  • Angle
  • Right Angle
  • Straight Angle