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In a regular polygon, the ratio of the i...

In a regular polygon, the ratio of the inner and outer angle is `7: 2 .` What is each angle? How many sides does the polygon have?

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7 x+2 x=180 9 x=180 `x=180/9=20^(circ)` ` Inner angle =7 xx 20=140^(circ)` `Outer angle =2 xx 20=40^(circ)` `Sum of outer angles =360^(circ) Number of sides =360/40=9`
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