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