Find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of a regular dodecagon.

A regular dodecagon is a regular polygon, and it as all its sides to be congruent.

(a) The angle formed by two consecutive radii

So, the angle between consecutive radii is:

Hence, the angle formed by two consecutive radii is 30 degrees

(b) The angle formed by a radius and the side of a regular dodecagon

The triangle in one part of a regular dodecagon is a isosceles triangle.

The required angle is the base angle of the triangle.

And it is calculated using:

This gives

Subtract 30 from both sides

Divide both sides by 2

Hence, the angle formed by a radius and the side of a regular dodecagon is 75 degrees

Read more about regular polygons at:

link

answer: 323 is how many she has ☃☃⛄❄

step-by-step explanation:

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x