how to find the sum of all exterior angles of a pentagon?(need mathematical explanation for project purpose)
Answers
Answer:
The sum of the exterior angles of a regular polygon will always equal 360 degrees. To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has.
Step-by-step explanation:
We know that, exterior angle + interior adjacent angle = 180°
We know that, exterior angle + interior adjacent angle = 180°So, if the polygon has n sides, then.
We know that, exterior angle + interior adjacent angle = 180°So, if the polygon has n sides, then.Sum of all exterior angles + Sum of all interior angles = n × 180°
We know that, exterior angle + interior adjacent angle = 180°So, if the polygon has n sides, then.Sum of all exterior angles + Sum of all interior angles = n × 180°So, sum of all exterior angles = n × 180° - Sum of all interior angles.
We know that, exterior angle + interior adjacent angle = 180°So, if the polygon has n sides, then.Sum of all exterior angles + Sum of all interior angles = n × 180°So, sum of all exterior angles = n × 180° - Sum of all interior angles.Sum of all exterior angles = n × 180° - (n -2) × 180°
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Answer:
Sum of all the exterior angles of any polygon os 360⁰. To find it's interior angles you have use the formula " (n-2)×180⁰ " . Here "n" = no. of sides of a polygon. No. of sides of a Pentagon is 5. So, (5-2)×180⁰. Then, 3×180⁰= 540⁰.
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