Obtuse Angle
an angle that measures between 90 degrees and 180 degrees
An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. In simple terms, it is an angle that is wider than a right angle but narrower than a straight angle. The term obtuse refers to something that is lacking in intelligence or sharpness, but in geometry, it is used to describe an angle that is blunt or open.
To visualize an obtuse angle, imagine a clock where the minute hand is pointing to the 10th minute mark and the hour hand is pointing to the 4th hour mark. The angle between the two hands is an obtuse angle, measuring approximately 120 degrees. Another example of an obtuse angle is an isosceles triangle where the two equal sides are longer than the third side, creating two obtuse angles.
Obtuse angles are important in geometry because they are used to describe various shapes and relationships between lines and shapes. They can also be used to solve problems involving trigonometry, such as finding the length of a side in a right-angled triangle or calculating the height of a building based on the length of its shadow.
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