Question

The interior and the exterior angle in the ratio 12:3 find the number of sides of the polygon​

Answer 1

Answer:

16

Step-by-step explanation:

Exterior angle = $\frac{360}{No. of sides}$ (Just a formula bro:)

Interior angle = 180 - $\frac{360}{No. of sides}$

Ratio between interion angle to exterior = 12:3 = 4:1

(It means interior angle is 4 times the exterior)

∴ (180 - $\frac{360}{No. of sides}$) = 4 ($\frac{360}{No. of sides}$)

45 - $\frac{360}{No. of sides}$ = $\frac{360}{No. of sides}$

45 = $\frac{720}{No. of sides}$

No. of sides = 720/45 = 16

Just some simple calculations bro

Hope you understood! :)

Answer 2

Answer:

✳Question✳

✳The interior and the exterior angle in the ratio 12:3 find the number of sides of the polygon✳

✳Answer✳

✳16✳