Question

An architect is designing a gazebo which base is a regular dodecagon. At what angle should he cut to frame the base?

Answer 1

15

Step-by-step explanation:

Note that a regular dodecagon is a 12 sided polygon with internal angles that are equal and sides of the same length.

So determine at what angle the architect should cut to frame the base, we have to divide 360 by 12 and divide the result by 2 as seen below;

`\begin{gathered} (360^(\circ))/(12)=30^(\circ)\text{ (degre}e\text{ per corner)} \\ (30^(\circ))/(2)=15^{\circ\text{ }}(angle\text{ to be cut)} \end{gathered}`

The angle that the architect should cut to frame the base is 15 degrees