Question

How would you complete the table?



A = 180º; B = 270º; C = 360º; D = 720º
A = 360º; B = 108º; C = 120º; D = 720º
A = 120º; B = 360º; C = 180º; D = 1080º
A = 210º; B = 180º; C = 270º; D = 720º

Answer 1

A is easy to work out You have each angle = 90 degrees and there are 4 sides
so its 4 * 90

Answer 2

To get B solve the equation
5 * B = 540

Answer 3

can you solve that?

Answer 4

180?

Answer 5

5B = 540
divide both sides by 5
B = 540/5 = ?

Answer 6

108!!!!!!! right??

Answer 7

yes

Answer 8

ohhh thank you JAYSUS and you

Answer 9

Now notice:- as you increase the number of sides the sum of the angles increases by 180
So you should now see what D is.

Answer 10

indeed i think i do

Answer 11

180, 360 , 540 what's next?

Answer 12

720

Answer 13

yes

Now finally to get C which is the value of each angle solve

6C = 720

Answer 14

seems 120

Answer 15

- there are 56 sides to this polygon so there are 6 angles

Answer 16

yes

720/6 = 120

Answer 17

yay

Answer 18

LOL - i meant 6 sides

Answer 19

The sum of the measures of the interior angles of an n-sided polygon is (x n - 2)180.
(Subtract 2 from the number of sides, and multiply by 180.)

A 3 sided polygon is a triangle: (n - 2)180 = (3 - 2)180 = 1(180 ) = 180

A 4 sided polygon is a quadrilateral: (n - 2)180 = (4 - 2)(180 = 2(180) = 360

5 sides: (n - 2)180 = (5 - 2)180 = (3)180) = 540

6 sides: (n - 2)180 = (6 - 2)180 = 4(180) = 720

A polygon has the same number of sides and angles.
Since all the polygons you are dealing with are regular polygons, all their interior angles are congruent, so the measure of each interior angle is the sum of the measures of all the interior angles divided by the number of angles (which is the same as the number of sides.

Example:

What is the measure of each interior angle of an 8-sided regular polygon?

Sum of the measures of the interior angles =
=(n - 2)180 = (8 - 2)(180) = 6*180 = 1080

Each angle: 1080/8 = 135