Debunking the Myth: Can a Triangle Have Two Obtuse Angles?

A triangle can have two obtuse angles

This statement is not true

This statement is not true. An obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees. In any triangle, the sum of the three angles is always 180 degrees.

Let’s assume that one angle in the triangle is obtuse, meaning it is greater than 90 degrees. If we have two obtuse angles, the sum of those two angles will be greater than 180 degrees, which is not possible in a triangle. Therefore, it is not possible for a triangle to have two obtuse angles.

In a triangle, one angle can be obtuse and the other two angles will be acute angles (measuring less than 90 degrees). Alternatively, a triangle can have all three angles acute, or it can have one acute angle and two obtuse angles. However, it cannot have two obtuse angles.

More Answers:

Proving the Statement: Equidistant Points from a Third Point are Collinear
Proving AB = BC = DE using the properties of collinearity and the given information about AC and BD-CE
The Truth about Acute Angles in Intersecting Lines: Understanding the Relationship Between Angle Measures

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