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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 the measures of interior angles of this regular pentagon?

540 degrees


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

520 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