Question

Find the ratio of an interior angle of a regular polygon of 9 sides to that of a regular polygon of 12 sides?

Answer 1

Step-by-step explanation:

Interior angle of regular polygon with 9 sides = (n-2) * 180 / n

= (9 - 2) * 180 /9

= 7 * 20

= 140

Interior angle of regular polygon of 12 side = (12 - 2) * 180 / 12

= 10 * 180 / 12

= 5 * 30

= 150

Ratio = 140 / 150

= 14/15

= 14:15

Mark me brainliest as I solved first

Answer 2

a interior angle of a regular polygon

={(n-2)*180}/n

where n is no of sides

so,

ratio=[{(9-2)*180}/9]/[{(12-2)*180}/12]

ratio=140/150

ratio=14/15

hope it helps

:-)