SOLUTION: Calculate the number of sides for a regular polygon given the ratio of each interior angle to its adjasent angle is 3 to 1
Algebra ->
Polygons
-> SOLUTION: Calculate the number of sides for a regular polygon given the ratio of each interior angle to its adjasent angle is 3 to 1
Log On
Question 309335: Calculate the number of sides for a regular polygon given the ratio of each interior angle to its adjasent angle is 3 to 1 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Calculate the number of sides for a regular polygon given the ratio of each interior angle to its adjasent angle is 3 to 1
---
The adjacent angles are supplementary:
x + 3x = 180
4x = 180
x = 45 degrees (exterior angle)
3x = 135 degree (interior angle)
--------------------------
The sum of the exterior angles is 360
---
# of exterior angles = 360/45 = 4
---
# of sides = 4
======================
Cheers,
Stan H.
(