Exterior Angles Of A Polygon Definition Measuring Exterior Angles Of Example 1: in the given figure, find the value of x. solution: we know that the sum of exterior angles of a polygon is 360 degrees. thus, 70° 60° 65° 40° x = 360°. 235° x = 360°. x = 360° – 235° = 125°. example 2: identify the type of regular polygon whose exterior angle measures 120 degrees. The exterior angle sum theorem states that the exterior angles of any polygon will always add up to 360∘. figure 4.18.3. m∠1 m∠2 m∠3 = 360∘. m∠4 m∠5 m∠6 = 360∘. the exterior angle theorem states that an exterior angle of a triangle is equal to the sum of its remote interior angles.
Exterior Angles Of A Polygon Gcse Maths Revision Guide The exterior angles of a polygon sum up to 360° because the exterior angles add to one revolution of a circle. both regular and irregular polygons have exterior angles. a regular polygon is one in which all the side lengths and angles are of equal measures, whereas an irregular polygon has sides and angles of different measures. let us. The exterior angles of a polygon add up to 360°. in other words the exterior angles add up to one full revolution. press play button to see. (exercise: try this with a square, then with some interesting polygon you invent yourself.) note: this rule only works for simple polygons. we can also think "each line changes direction. The sum of exterior angles of any polygon is always 360∘, 360∘, regardless of the number of sides the polygon has. for a regular polygon, the exterior angles can be found using the formula. exterior angle= 360∘ n, exterior angle = n360∘, where n, n, is the number of sides of the polygon. The exterior angle sum theorem states that each set of exterior angles of a polygon add up to 360 ∘. m ∠ 1 m ∠ 2 m ∠ 3 = 360 ∘ m ∠ 4 m ∠ 5 m ∠ 6 = 360 ∘ remote interior angles are the two angles in a triangle that are not adjacent to the indicated exterior angle.
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