What term can be used to describe the angles of a regular pentagon?
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Step by Step Explanation:
- Let us first find the measure of each angle in a regular pentagon.
- We know that in a polygon with n sides, the sum of all its internal angles is 180° × (n - 2). Since, a pentagon is a polygon with five sides, the sum of all the internal angles of a pentagon is 180° × (5 - 2) = 180° × 3 = 540°.
- In a regular pentagon, all the internal angles are equal. Thus, the measure of each internal angle = = 108°.
(The following figure shows a regular pentagon)
- We know that an obtuse angle is an angle whose measure is more than 90° but less than 180°.
- Hence, the term that can be used to describe the angles of a regular pentagon is obtuse angle.