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Q: Does exterior angle of a triangle equals the sum of the interior angles?

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Any exterior angle of a triangle always equals the sum of the two interior opposite angles.

the exterior angle theorem

1 a circle 360 interior angles 360 exterior agles

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

Mathematically - A regular pentagon has interior angles and sides equal. Bisecting each interior angle and extending a line segment to the center gives you five equal angles (360o/5=72o). Using the triangle formed by two line segements and a side of the pentagon we know the sum of interior angles of each triangle equals (180o) and we know one angle is 72o. The sum the other two interior angles of each triangle equals (180o-72o=108o) which equals each interior angle of the pentagon (equal to the sum of these two angles). Thus the exterior angle of each corner of the pentagon equals (360o-108o=252o). :-)

If the hexagon it regular ie: all the interior angles are the same. Then the exterior angles will equal: 360 - Interior Angle=Exterior angle 360 - 120 = 240 Exterior angle equals= 240 NB: Interior angle equals 720/6

Theorem: An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.An exterior angle is formed by one side of a triangle and the extension of an adjacent side of the triangle.In the triangle at the right,

A Regular Polygon

The sum of the exterior angles of all polygons equals to 360⁰.Since only the sum of the interior angles of all quadrilaterals equals to 360⁰, the polygon must have 4 sides.

A triangle

Yes it does. Good work!

No. The interior angle and exterior angle at the same vertex are supplementary. Each of them is (180 degrees minus the other). In rectangles (including squares), the interior and exterior angles at each vertex are both right angles.

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