answersLogoWhite

0

360A triangle is a polygon with three sides and three angles. The sum of the interior angles of a polygon equals 180(n - 2), where n is the number of sides.

180(3 - 2) = 180°

Assuming all the angles in the triangle are congruent, find the measure of one interior angle.

180° ÷ 3 = 60°

If an interior angle equals 60°, then its corresponding exterior angle will equal 120° because the angles are supplementary (their sum is 180°).

120° × 3 = 360°

Therefore, the sum of the exterior angles of a triangle is 360°.

study island

User Avatar

Wiki User

13y ago

What else can I help you with?

Related Questions

A convex polygon has 5 sides what is the sum of the measure of its exterior angles?

A convex figure has eight sides. What is the sum of its exterior angles?


A convex figure has 9 sides what is the sum of its exterior angles?

360


What is the sum of the exterior angles in a convex figure with three sides?

The sum of the exterior angles of any polygon - no matter how many sides, no matter whether it is convex or concave - is 360 degrees.


What is the sum of the exterior angles in a convex figure with nine sides?

The sum of the exterior angles of any polygon - however many sides it has and whether it is convex or concave - is always 360 degrees.


What is the sum of the exterior angles of a 12-gon?

The sum of exterior angles for any figure is 360. If you want the sum of the interior angles use the equation 180(n-2) for n equals number of sides.


Sum of exterior angles with 14 sides?

The sum of the exterior angles of a polygon with ANY number of sides, is 360 degrees.


What is the sum of the exterior angles of a 14-sided figure?

The sum of the exterior angles of any polygon, regardless of the number of sides, is always 360 degrees. Therefore, for a 14-sided figure, the sum of the exterior angles is also 360 degrees. This holds true for all polygons, whether they are regular or irregular.


What is the sum of the exterior angles of a convex figure with 7 sides?

180 x (7-2) = 900 degrees Actually that is the formula for interior angles. All figures have a sum of 360 degrees for their exterior angles.


How many sides does a polygon have when the sum of its interior angles is equal to the sum of its exterior angles?

Four sides


What is the sum of the exterior angles of a18-gon?

The sum of the exterior angles of a polygon with ANY number of sides, is 360 degrees.


What is the Sum of the exterior angles of a 5-gon?

The sum of the exterior angles of a polygon, with any number of sides, is 360 degrees.


What is the sum of the exterior angles of 50-gon?

The sum of the exterior angles of a polgon - no matter how many sides - is 360 degrees.