When it comes to angles, we often encounter different types such as acute, right, and obtuse angles. While acute angles measure less than 90 degrees and right angles measure exactly 90 degrees, obtuse angles are a bit more interesting. So, what is the maximum number of integer degrees in an obtuse angle?
An obtuse angle is defined as an angle that measures greater than 90 degrees but less than 180 degrees. To determine the maximum number of integer degrees in an obtuse angle, we need to find the largest whole number that satisfies this condition.
Starting at 91 degrees, we can see that this angle is considered obtuse. As we increase the degree measure, we find that 92, 93, 94, and so on, are all also obtuse angles. However, when we reach 179 degrees, we find that it is not considered obtuse anymore, but rather a straight angle.
A straight angle measures exactly 180 degrees, and it is formed by a straight line. Since an obtuse angle must measure less than 180 degrees, the largest possible number of integer degrees in an obtuse angle is 179. This means that an obtuse angle can range from 91 degrees to 179 degrees.
Obtuse angles are commonly found in various geometric shapes and real-life scenarios. For instance, the corner of a room may form an obtuse angle, or a triangle with one angle measuring greater than 90 degrees is also considered obtuse.
In conclusion, the maximum number of integer degrees in an obtuse angle is 179. Understanding the different types of angles and their measurements is essential in various fields such as mathematics, engineering, and architecture. By knowing the properties of obtuse angles, we can better analyze and solve geometric problems, ensuring accurate measurements and calculations.
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