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Sum of five consecutive even numbers is 540. So the middle one is 540/5 = 108.

The other four are 108-4, 108-2, 108+2 and 108+4. So the largest is 108+4 = 112 degrees.

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Q: The sum of the measures of the angles of a pentagon is 540 degrees The degree of measures of the angles of a pentagon are consecutive even integers Find the measure of the largest angle?
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How do i find the largest angle with consecutive integers on a pentagon?

The sum of all interior angles of a polygon with n sides is 180 degrees × (n - 2), so the sum of all angles within a pentagon is 540 degrees (180 x (5 - 2) = 180 x 3 = 540). The five interior angles of a pentagon then must have an average of 108 degrees each (540 / 5 = 180), and the angles having consecutive integers will be 106, 107, 108, 109, and 110 degrees. The largest angle will be 110 degrees.


How many degrees does a Regular Polygon measure?

How many degrees a regular polygon measures depends on how many sides it has. For example, a pentagon measures 540 degrees. A triangle measures 180 degrees. To calculate a pentagon for example, use this formula. A pentagon has 5 sides. Take away 2 which is 3. Then multiply it by 180 to get your answer.


A pentagon with one interior angle that measures 200 degrees is what type of polygon?

An irregular pentagon.


What is the sum of the measures of the interior anglesof a pentagon?

540 degrees


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

540 degrees


One exterior angle of a regular pentagon measures?

72 degrees


What is the sum of measures of the interior angles of a convex pentagon?

520 Degrees


What is the sum of the measures of interior angles of this regular pentagon?

540 degrees


What is the degrees of an exterior angle of a regular pentagon?

Each exterior angle measures 72 degrees


What is the name of a polygon in which the sum of the measures of the interior angles is 540 degrees?

A pentagon


What is the measure of an external angle for a pentagon?

If it's a regular 5 sided pentagon then each exterior angle measures 72 degrees


Exterior angle of a regular pentagon?

Each exterior angle measures 72 degrees