how to find the measure of exterior angles in a regular polygon The sum of the exterior angles of a polygon is 360 The formula for calculating the size of an exterior angle in a regular polygon is 360 div number of sides
Exterior angles in a polygon are found by using the formula 360 Number of sides of the polygon If there are 9 sides in the polygon then each exterior angle in the polygon is equal to 360 9 which is 40 The same formula is applicable to a A Polygon is any flat shape with straight sides 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
how to find the measure of exterior angles in a regular polygon
how to find the measure of exterior angles in a regular polygon
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Ex 3 2 2 Find Measure Of Each Exterior Angle Of A Regular Polygon
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What Is The Sum Of The Measures Of The Interior Angles Of A Regular
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Since the sum of exterior angles of any polygon is always equal to 360 we can divide by the number of sides of the regular polygon to get the measure of the individual angles For example for a pentagon we have to divide 360 by 5 360 5 72 Each exterior angle in a regular pentagon measures 72 The first formula to find the exterior angle can be used if the corresponding interior angle is given Each Exterior angle 180 Interior angle The second formula can be used to find the exterior angle when its interior opposite angles are given Exterior angle Sum of Interior opposite angles The third formula can be used to find the
Example 1 finding the size of a single exterior angle for a regular polygon Calculate the size of a single exterior angle for a regular hexagon Identify the number of sides in any polygon s given in the question Note whether these are regular or irregular shapes A hexagon has 6 sides X 3x 160 4x 160 x 160 4 40 Answer Value of x 40 Example 2 Using the exterior angle sum theorem find the exterior angle of a regular hexagon Solution To find Exterior angle of a regular hexagon Given Regular hexagon Number of sides of a regular hexagon 6 Using exterior angle sum theorem Exterior angle 360 6
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In order to find the measure of a single interior angle of a regular polygon a polygon with sides of equal length and angles of equal measure with n sides we calculate the sum interior anglesor red n 2 cdot 180 and then divide that Exterior Angle of a regular octagon Example What is the exterior angle of a regular octagon An octagon has 8 sides so Exterior angle 360 n 360 8 45 Interior Angles The Interior Angle and Exterior Angle are measured from the same line so they add up to 180 Interior Angle 180 Exterior Angle
M 1 m 2 180 Figure 4 18 2 Therefore exterior angle of a regular polygon is 180o N 2 180o N 360o N Answer link You can find a measure of an exterior angle of a regular polygon with N sides It is equal to 360 o N Angles of a general polygon exterior and interior with more than 3 sides are not defined by the lengths of its sides
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how to find the measure of exterior angles in a regular polygon - The first formula to find the exterior angle can be used if the corresponding interior angle is given Each Exterior angle 180 Interior angle The second formula can be used to find the exterior angle when its interior opposite angles are given Exterior angle Sum of Interior opposite angles The third formula can be used to find the