volume_mute
Match Each Polygon to Its Angle Sum
publish date: 2026/05/16 08:22:30.226228 UTC
volume_muteUse the formula \(S = (n-2) \cdot 180°\) to match each polygon to its total angle sum.
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Polygon
Triangle (3 sides)
Quadrilateral (4 sides)
Pentagon (5 sides)
Hexagon (6 sides)
Angle Sum
720°
360°
540°
180°
Correct Answer
(1) Triangle (3 sides),180°
(2) Quadrilateral (4 sides),360°
(3) Pentagon (5 sides),540°
(4) Hexagon (6 sides),720°
Explanation
Applying \(S=(n-2)\cdot180°\):
- Triangle: \((3-2)\cdot180°=180°\)
- Quadrilateral: \((4-2)\cdot180°=360°\)
- Pentagon: \((5-2)\cdot180°=540°\)
- Hexagon: \((6-2)\cdot180°=720°\)
Reference
Mathematics for college students