volume_mute
Find the Number of Sides – Angle Sum 1,620°
publish date: 2026/05/16 08:22:29.729254 UTC
volume_mute
The sum of the angle measures of a polygon is 1,620°. How many sides does the polygon have?
Correct Answer
11 sides
Explanation
Substitute \(S = 1{,}620°\) and solve for \(n\):
\[1{,}620 = (n-2) \cdot 180\]
\[1{,}620 = 180n - 360\]
\[1{,}980 = 180n\]
\[n = 11\]
The polygon has 11 sides.
Reference
Mathematics for college students