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A polygon has 9 sides. What is the ratio between the interior and exterior angle of the polygon?


1. 7 : 2
2. 2 : 7
3. 3 : 4
4. 3 : 8

1 Answer

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Correct Answer - Option 1 : 7 : 2

Given:

The polygon has 9 sides

Concept Used:

The measure of each exterior angle of a polygon is 360/number of sides

Interior angle + exterior angle = 180°

Calculation:

The polygon has 9 sides

Measurer of each exterior angle = 360/9

⇒ 40°

Sum of an interior angle and an exterior angle is 180°

The measure of interior angle = (180° - 40°)

⇒ 140°

The ratio between the interior and exterior angle of the polygon is 140° : 40°

⇒ 7 : 2

The ratio between the interior and exterior angle of the polygon is 7 : 2

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