The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answer
Step-by-step explanation:
In a regular n-side polygon:
- All sides are equal in lengths
- All angles are equal in measure
- The measure of each interior angle =

- The measure of each exterior angle =

- The sum of interior angle and exterior angle at a vertex is 180°
∵ The measure of an interior angle of a regular polygon is 120°
∵ The sum of interior angle and exterior angle at a vertex = 180°
∴ The measure of each exterior angle = 180 - 120
∴ The measure of each exterior angle = 60°
∵ The measure of each exterior angle = 
- Substitute the measure of the exterior angle by 60
∴ 
- By using cross multiplication
∴ 60 n = 360
- Divide both sides by 60
∴ n = 6
∴ The polygon has 6 sides
The measure of each exterior angle is 60° and the polygon has 6 sides
Learn more:
You can learn more about polygons in brainly.com/question/6281564
#LearnwithBrainly
Answer:
Board 1 = 1.2m
Board 2 = 2.4m
Board 3 = 3.6m
Step-by-step explanation:
Board 1 = x
Board 2 = 2x
Board 3 = 3x
x + 2x + 3x = 6x
7.2 /6 = 1.2
Board 1 = 1.2
Board 2 = 2 (1.2) = 2.4
Board 3 = 3 (1.2) = 3.6
Answer:
use the formula of permutation and combination
Step-by-step explanation:
Answer:
41.0501 ft²
Step-by-step explanation:
Area of a Sector (Radians): A = 1/2r²∅
We are given <em>r</em> and ∅, so simply plug it into the formula:
A = 1/2(5.6)²(5π/6)
A = 1/2(31.36)(5π/6)
A = 15.68(5π/6)
A = 41.0501 ft²
8.8
I plugged in the calculator for you:)