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
A convex figure has eight sides. What is the sum of its exterior angles?
360
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.
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.
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.
The sum of the exterior angles of a polygon with ANY number of sides, is 360 degrees.
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.
What is the sum of the measures of the exterior angles of a regular polygon with ten sides
Four sides
The sum of the exterior angles of a polgon - no matter how many sides - is 360 degrees.
The sum of the exterior angles of a polygon, with any number of sides, is 360 degrees.
The sum of the exterior angles of a polygon with ANY number of sides, is 360 degrees.