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What is the formula of exterior angle property?

What is the formula of exterior angle property?

What is the Exterior Angle Theorem Formula? The sum of the exterior angle = the sum of two non-adjacent interior opposite angles. An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.

Why do exterior angles add up to 360?

The sum of the exterior angles of any polygon (remember only convex polygons are being discussed here) is 360 degrees. Because the exterior angles are supplementary to the interior angles, they measure, 130, 110, and 120 degrees, respectively. Summed, the exterior angles equal 360 degreEs.

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Why exterior angle is equal?

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle. Definition of linear pair. If two angles form a linear pair, they are supplementary.

What is the sum of exterior?

360°
The sum of exterior angles formula says the sum of all exterior angles in any polygon is 360°.

Why is the exterior angle sum 360?

Do exterior angles add up to 180?

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.

What is the sum of the exterior angles of a polygon with 14 sides?

N = sum of measures of linear pairs – sum of measures of interior angles = 180n – 180(n – 2) = 180n – 180n + 360 = 360 So, the sum of the exterior angle measures is 360 for any convex polygon. 44. PHOTOGRAPHY The aperture on the camera lens shown is a regular 14-sided polygon.

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What is an exterior angle equal to?

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.

What is the sum of the exterior angles of a pentagon *?

THE SUM OF (five) EXTERIOR ANGLES OF A PENTAGON is 72 × 5 = 360°.

Is the exterior angle of a triangle 180 degrees?

What is an exterior angle in math?

Definition of exterior angle 1 : the angle between a side of a polygon and an extended adjacent side. 2 : an angle formed by a transversal as it cuts one of two lines and situated on the outside of the line.