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 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.

540 degrees

520 Degrees

540 degrees

Each exterior angle measures 72 degrees

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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 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.

An irregular pentagon.

540 degrees

540 degrees

72 degrees

520 Degrees

540 degrees

Each exterior angle measures 72 degrees

A pentagon

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

Each exterior angle measures 72 degrees