The Exterior Angles Triangle Calculator is a valuable tool used to determine the measure of exterior angles in a triangle. It simplifies the process of calculating exterior angles by providing a straightforward method based on the known interior angles of the triangle.
Formula of Exterior Angles Triangle Calculator
The formula used in the Exterior Angles Triangle Calculator is:
Exterior Angle = 180° - Interior Angle
- Exterior Angle is the measure of the angle formed when extending one side of the triangle outward.
- Interior Angle is the measure of one of the interior angles of the triangle.
This formula is derived from the fact that the sum of the interior and exterior angles of a triangle is always 180 degrees. By subtracting the interior angle from 180 degrees, we obtain the measure of the corresponding exterior angle.
General Terms Table
Here’s a helpful table of general terms related to triangles that people often search for:
|A polygon with three sides and three angles.
|An angle formed inside a triangle by two adjacent sides.
|An angle formed outside a triangle by extending one of its sides.
This table provides a quick reference for those seeking to understand basic triangle terminology.
Example of Exterior Angles Triangle Calculator
Let’s consider an example to illustrate how the Exterior Angles Triangle Calculator works:
Suppose we have a triangle with an interior angle of 60 degrees. Using the formula mentioned earlier, we can calculate the corresponding exterior angle:
Exterior Angle = 180° - 60° = 120°
Therefore, the exterior angle of the triangle is 120 degrees.
Most Common FAQs
A: Simply input the measure of the interior angle of the triangle into the calculator, and it will automatically compute the corresponding exterior angle for you.
A: Exterior angles play a crucial role in various geometric principles, such as the exterior angle theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles. Understanding exterior angles helps in solving geometric problems and proofs.
A: No, by definition, an exterior angle cannot be greater than 180 degrees. An exterior angle is formed by extending one side of a triangle outward, and its measure is always less than 180 degrees.