Question

Hon Geomentry help!!

Answer 1

@phi

Answer 2

i have attached attachment

Answer 3

@zepdrix

Answer 4

The sum of the interior angles in a polygon with n sides is 180º(n – 2).

Answer 5

appears that n = 4
so interior must total 360 degrees

Answer 6

set the sum of all 4 angles to 360 and solve for x

Answer 7

dude i cant understand

Answer 8

to find out what the interior angles total you calculate with formula i provided earlier....180 (n-2)

Answer 9

this is a poly with 4 sides - so n = 4

Answer 10

plug into formula - you get 180 (4-2) = 180(2) = 360...you follow?

Answer 11

This is more algebra than geometry. You know the 3 angles in a triangle add up to 180º. It turns out the 4 angles in a 4 sided figure add up to 360º. Juanita gave you the formula for a polygon with n sides, which is nice to know.

for your problem, write down the sum of the angles and set equal to 360
94+86+94+11x-2= 360

btw, we see that angle F=86 + angle G=94 add up to 180 degrees
that means the top and bottom edges are parallel.
also, angles F=86 and E=94 add up to 180, so the 2 side edges are parallel
you have a parallelogram, so you know the angles in opposite corners are equal.
so you could write

11x-2= 86

but the first equation simplifies to this one, so you don't need to know you have a parallelogram

now do algebra to find x. First add +2 to both sides
11x -2 + 2= 86+2
simplify, using -2+2=0 and 11x+0 is just 11x (on the left side). the right side is 88

11x= 88
divide both sides by 11
11x/11 = 88/11
you get
x=8