What is the interior angle measure of a convex decagon?

The interior angle measure of a convex decagon is 144.

Step-by-step explanation:

The sum of the interior angle formula for a convex polygon is (n-2)180

where n is the number of sides.

A decagon has 10 sides.

10-2 = 8

8 times 180 = 1440

A decagon has 10 sides-10 angles.

To find the measure of each angle divide by 10.

1440/10=144

The interior angle measure of a convex decagon is 144.

move it to the other side

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west