## suneja 2 years ago Consider a regular polygon of p sides. The number of values of p for which the polygon will have angles whose values in degrees can be expressed in integers? A. 24 B. 23 C. 22 D. 20 E. 21

1. Kainui

Try making a general formula for the sides of a regular polygon from pictures. A useful hint would be, remember that you can make any regular polygon into a bunch of equal triangles and the center contains a full 360 degrees and all triangles have 180 degrees.

2. matricked

it can be the number of factors 360 will have and its 22 (leaving 0 and 360)

3. shubhamsrg

yep..22 seems correct to me as well..

4. matricked

5. Kainui

|dw:1355825287861:dw|

6. matricked

see each int angle of regular poly gon is given by 180 -(360/n)

7. suneja

ya i gt the formula thanks all:)

8. Kainui

|dw:1355825460643:dw|

9. Kainui

p*180-360=p*angle

10. Kainui

You can forget a formula, but if you can figure it out like this, you can do it on the test.

11. suneja

@Kainui thanks

12. ParthKohli

\(\dfrac{180(n - 2)}{n}\) is the measure of an angle in a regular polygon. So, you can always test the choices ;-)