When we talk about obtuse angles, we refer to angles that are greater than 90 degrees but less than 180 degrees. Various shapes can contain obtuse angles, making them an interesting topic in geometry.
One common shape that includes obtuse angles is the obtuse triangle. In an obtuse triangle, one of the angles is obtuse, while the other two must be acute (less than 90 degrees). This unique configuration allows for interesting properties, such as the fact that the longest side is opposite the obtuse angle.
Another shape that can have obtuse angles is the trapezoid. In a trapezoid, particularly an isosceles trapezoid, the angles adjacent to the base can be obtuse. This means that if one angle is obtuse, the opposite angle is also obtuse, contributing to the trapezoid’s distinctive shape.
Furthermore, quadrilaterals like certain types of parallelograms can have obtuse angles. An example would be a rhomboid, which has two obtuse and two acute angles. The arrangement of these angles gives the rhomboid its slanted appearance.
In summary, shapes like obtuse triangles, specific trapezoids, and certain quadrilaterals can feature obtuse angles, showcasing the diversity of geometric forms that include angles greater than 90 degrees.