Question

Greatly appreciate any help!!
In the figure below, BC and AF intersect at point G
What is the value of x?
a)240.4
b)209.4
c)119.4
d)90.2

Answer 1

i got 262.9 witch is obviously not one of the choices PLEASE HELP /:

Answer 2

Use triangle ABG to get angle AGB.

Answer 3

Then you know that angle CGF = angle AGB because they are vertical.

Answer 4

Then use what you know about the sum of the interior angles of a pentagon.

Answer 5

yeah i got 90.2 for AGB witch i know is th same for CGF because they are both congruent but after that i dont know what i did wrong

Answer 6

What is the sum of the angles in a pentagon?

Answer 7

540 right?

Answer 8

Yep, so just double check your subtraction.

Answer 9

but just to be sure this is basically the equation to solve right?
540= 90.2 +96.9+90

Answer 10

omg im so stupid
i see what i did wrong i misread one of the angle

Answer 11

Don't forget the 143.5 down there at F . .

Answer 12

yeah that was my error lol

Answer 13

so the answer i 209.6

Answer 14

Hmm, check again..

Answer 15

um well i cant see anything wrong, so please explain if i missed something

Answer 16

Is this the equation you ended up with?
540 = 90.2 + 96.9 + 90 + 143.5 + x

Answer 17

yes sure

Answer 18

no excuse me my equation was 540=96.9+143.5+90

Answer 19

shouldnt 90.2 also be added to the equation because it a five sided figure and we only have four sides angles?

Answer 20

okies the real answer is 119.4 you were suppose to add all four sides and subtract it from 540

Answer 21

There ya' go!

Answer 22

Thank you so much for helping me!