aprildavis1025 aprildavis1025
  • 03-02-2021
  • Mathematics
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12. What is the sum of the interior angles for a pentagon? (1 point)
900
540°
720°
108°

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DWRead
DWRead DWRead
  • 03-02-2021

Answer:

540°

Step-by-step explanation:

Consider a regular pentagon. Divide it radially into five congruent, isosceles triangles. Each triangle has a vertex angle of 360°/5 = 72°, and base angles of (180°-72°)/2 = 54° each.

An interior angle of the pentagon is made up of two of those 54° angles, so interior angle = 108°.

Sum of interior angles = 5·108° = 540°

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