How many angles in a pentagon are greater than a right angle?

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2026-04-14 09:30

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In a pentagon, the sum of the interior angles is 540 degrees. A right angle is 90 degrees, so if we consider a scenario where one angle is greater than 90 degrees, it is possible for multiple angles to exceed this measure. However, there can be at most three angles in a convex pentagon that can be greater than a right angle, as having more would exceed the total sum of 540 degrees. Therefore, the maximum number of angles in a pentagon that can be greater than a right angle is three.

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