Find the measure of each interior angle and each exterior angles of the following regular polygons. show your work. a. pentagon b. 16-gon c. dodecagon

regular polygons with 5, 16, and 12 sides

the measures of each interior and exterior angle

The sum of exterior angles is 360° for any convex polygon. For a regular n-agon, the measure of an exterior angle is 360°/n. The corresponding interior angle is its supplement.

(a) pentagon. Exterior angle: 72°; Interior angle: 108°.

(b) 16-gon. Exterior angle: 22.5°; Interior angle: 157.5°.

(c) dodecagon. Exterior angle: 30°; Interior angle: 150°.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

what is the question? i am guessing you are looking for the area.

to find an area, you have to do length x width.

in this case, it would be 12 ft x 4 ft = 48 sq. ft