Why is the ratio of the interior of pentagon and decagon
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student-nameHarshita Sharma asked in Math
What is the ratio of interior angles of a Pentagon and decagon?
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student-nameMahi C Patel answered this
88 helpful votes in Math, Class IX
each interior angle of a pentagon = (n - 2) * 180
= (5 - 2) * 180
= 3 * 180
= 540 degrees
each interior angle of a decagon = (n - 2) * 180
= (10 - 2) *180
= 8 * 180
= 1440 degrees.
Ratio of the interior angles of a pentagon and decagon = 540/1440
= 3 : 8
The ratio of the interior angles of a pentagon and a decagon is 3 : 8