ICSE Class 8 Answered
The ratio of the exterior and interior angle of a regular polygon is 2:3. Find the number of sides in the polygon.
Asked by Cl_narayan | 14 Jul, 2019, 08:48: AM
Expert Answer
The ratio of the exterior and interior angle of a regular polygon is 2:3.
Let exterior angle and interior angle of a polygon be 2x and 3x.
2x + 3x = 180°
5x = 180°
x = 36°
Exterior angle = 72°
Interior angle = 3x = 108°
number of sides = 360°/exterior angle
= 360°/72°
= 5
= 5
A polygon has 5 sides hence it is pentagon.
Answered by Sneha shidid | 14 Jul, 2019, 06:35: PM
ICSE 8 - Maths
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ANSWERED BY EXPERTICSE 8 - Maths
Asked by Cl_narayan | 14 Jul, 2019, 08:48: AM
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