Question

Find the measure of each interior angle of a regular convex dodecagon.

Answer 1

the angle sum is

\[Sum = (n - 2) \times 180\]

where n = the number of sides in the polygon.

1 angle is then

\[1.. Angle = \frac{Sum}{n}\]


all you need to do is substitute the value for n, the number of sides in a dodecagon

Answer 2

so 1,800 over 12?

Answer 3

yep, that will give you 1 angle

Answer 4

so are those the rest of the angles sides? or do they somehow add up to something different?

Answer 5

nope a polygon has the same number of angles as sides

so in a decagon you have 12 angles.

the word regular means every side and angle are equal in measurement.

so finding 1 angle in a regular polygon, means you are finding the size of every angle in the polygon.