why is it impossible for a tiangle to contain a 180 degree angle?
A 180-degree angle is a straight line. The total degrees in a triangle is only 180 degrees.
thanks so much
You're welcome.
A triangle is a polygon with three sides and three angles. The sum of the angles in any triangle is always 180 degrees. However, it is not possible for a triangle to have an angle that measures exactly 180 degrees.
To understand why, we can start with the fact that a straight line forms an angle of 180 degrees. A triangle can be thought of as two line segments connected by a third line segment (side). If one of the angles of a triangle were 180 degrees, it would mean that the two line segments would be collinear (lying on the same line). In other words, the two sides of the triangle would overlap, resulting in only two sides instead of three.
Alternatively, we can use the angle sum property of triangles to understand this. The sum of the three angles in a triangle is always 180 degrees. If one of the angles were 180 degrees, then the other two angles would have to be zero degrees. However, a zero-degree angle is essentially a straight line, and it cannot form a triangle.
In summary, it is impossible for a triangle to contain a 180 degree angle because it would result in either collinear sides or violate the angle sum property of triangles.