Question

Find the measure of angle E.

Answer 1

You know the total angle for this polygon?

Answer 2

@melaniejeannn

Answer 3

no

Answer 4

would it be 1260?

Answer 5

To find the total number of degrees in any polygon, all we have to do is divide the shape into triangles then count how many triangles there are then multiply the number of triangles by 180º.

Yes it is 1260º.

Now add up all angles then set it equal to 1260º. I know it may take time, but I don't know any shortcut, sorry...

Answer 6

Can you handle it? All you have to do is add and combine the like terms.

Answer 7

54x - 5 = 1260 ?

Answer 8

x = 23.24

Answer 9

I got 55x - 5 = 1260

Answer 10

maybe i added wrong

Answer 11

yeah, this problem is abusive, don't worry about it. ok, Now solve for x. what do you get?

Answer 12

x =22.9

Answer 13

You did add both sides by 5 then divide both sides by 55, right?

Answer 14

Because I get 23

Answer 15

55x - 5 = 1260

Add both sides by 5.
55x = 1265

Divide both sides by 55.
x = 23

Is this clear?

Answer 16

oh no i didn't
i forgot the 5

Answer 17

Oh ok. so x = 23, right?
If you take a look at angle E. it is equal to 7x + 9. So we need to turn x into 7x + 9. Do you know how to?

Answer 18

Yes, i trhink. 7(23) + 9 = 170 degrees?

Answer 19

Excellence! That's your answer: 170º. Is this clear?

Answer 20

yes, thanks so much! :)

Answer 21

No problem. :)