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An obtuse angle is a type of angle that measures greater than 90 degrees but less than 180 degrees. In other words, it is an angle that is wider than a right angle but not as wide as a straight angle. The term “obtuse” comes from the Latin word “obtusus,” which means blunt or dull.

When we draw an obtuse angle, we can think of it as an angle that opens up to one side rather than pointing straight ahead or bending inwards. It is like a wide V-shape or a corner that is not very sharp.

To measure an obtuse angle, we can use a protractor or any other angle measuring tool. We place the protractor at the vertex (the point where the two rays of the angle meet) and mark the degree reading on the scale that corresponds to the angle. The angle measurement is always a positive number, even if the angle extends clockwise rather than counterclockwise.

One common example of an obtuse angle is the angle formed between a wall and the ceiling in a room. This angle is usually larger than 90 degrees due to the design of most buildings. Another example is the angle formed by the minute and hour hands of a clock when the time is between 9 o’clock and 3 o’clock. This angle is also obtuse because it measures greater than 90 degrees.

Obtuse angles have several properties that are worth noting. They are always acute complementary angles with another angle that adds up to 180 degrees. For example, if we have an obtuse angle of 120 degrees, its acute complementary angle would be 60 degrees. Additionally, obtuse angles are always obtuse vertical angles with another angle that has the same vertex but points in the opposite direction.

Overall, obtuse angles are an important concept in geometry and have many real-world applications. By understanding what they are and how to measure them, we can better navigate and understand the world around us.