What is the sum of the measure of the interior angle of a dodecagon? explain your answer.

Answer : The sum of the measure of the interior angle of a dodecagon is, 1800°

Step-by-step explanation :

As we know that a circle makes a complete angle of 360° at the center.

As the dodecagon is a plane figure that has 12 sides.

When the lines join from center to edges of the figure then 12 triangles will be formed.

So, each angle at the center of dodecagon =

The triangles formed in the figure will be an isosceles triangle that has two equal sides and their corresponding angles are also equal.

Now we have to take a triangle to calculate the interior angle of dodecagon.

As we know that the sum of interior angles of a triangle is equal to 180°.

So,

∠A + ∠B + ∠O = 180°

As, ∠A = ∠B and ∠O = 30°

2∠A + ∠O = 180°

2∠A + 30° = 180°

2∠A = 150°

∠A = 75°

Each of the interior angle of dodecagon = 2 × ∠A

Each of the interior angle of dodecagon = 2 × 75°

Each of the interior angle of dodecagon = 150°

The sum of the measure of all interior angle of a dodecagon = 12 × 150° = 1800°

Hence, the sum of the measure of the interior angle of a dodecagon is, 1800°

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it