What are the measures of the angles in a triangle?

What are the measures of the angles in a triangle?

• A. 180 degrees
• B. 90 degrees
• C. 360 degrees
• D. 270 degrees

Answer: (A)

The measures of the angles in a triangle always sum up to 180 degrees. This fundamental property of triangles is a key concept in geometry, which states that no matter the shape of the triangle—whether it is acute, obtuse, or right—the total measure of the internal angles will always equal 180 degrees. This rule applies universally to all types of triangles, making it a foundational principle in the study of geometry. Understanding this property is crucial for solving various problems related to triangles and is often tested in assessments like the ASVAB. In contrast, the other numerical values provided do not apply to triangles. For instance, 90 degrees refers to the measure of a right angle, which is only one angle in certain types of triangles, while 360 degrees is the total measure of angles in a complete circle, and 270 degrees is not relevant in the context of triangle angle measurement. Hence, the option indicating that the sum of angles in a triangle is 180 degrees is the only accurate choice.

The measures of the angles in a triangle always sum up to 180 degrees. This fundamental property of triangles is a key concept in geometry, which states that no matter the shape of the triangle—whether it is acute, obtuse, or right—the total measure of the internal angles will always equal 180 degrees.

This rule applies universally to all types of triangles, making it a foundational principle in the study of geometry. Understanding this property is crucial for solving various problems related to triangles and is often tested in assessments like the ASVAB.

In contrast, the other numerical values provided do not apply to triangles. For instance, 90 degrees refers to the measure of a right angle, which is only one angle in certain types of triangles, while 360 degrees is the total measure of angles in a complete circle, and 270 degrees is not relevant in the context of triangle angle measurement. Hence, the option indicating that the sum of angles in a triangle is 180 degrees is the only accurate choice.