The Ultimate Guide To Obtuse Angles: Definition, Examples, And Properties

obtuse angle

An angle that measures more than 90 degrees but less than 180 degrees

An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. In other words, it is an angle that is wider or larger than a right angle but smaller than a straight angle.

To identify an obtuse angle, you can use a protractor to measure the angle or visually estimate the angle’s size based on its opening width. In geometry, obtuse angles are often represented with a small arc or dot on the vertex and two lines extending from it, one on either side, indicating the angle’s size and shape.

Examples of obtuse angles in real life include the angle between two walls in the corner of a room, the angle between the hands of a clock at 4:30, or the angle formed by the sloping roof of a house.

Obtuse angles have several mathematical properties, such as being complementary to acute angles, meaning they add up to 180 degrees. They can also form a straight line with other angles or be used to create shapes like triangles or quadrilaterals.

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