Question

I have no idea how to do these geometry problems! if someone could explain to me how to do them that'd be awesome!

1. In the diagram GH bisects angle FGI
a. solve for x and find out m angle FGH
b. find m angle HGI
c. find m angle FGI

diagram will be drawn below.

Answer 1

hello :)

Answer 2

So basically, #1 is saying that the line GH is cutting the angle FGI in half. So that would mean the 2 angles FGH and HGI are the same measure right?

Answer 3

So if you know that FGI is (3x-3)
HGI is (4x-14)
and that FGI = HGI
what equation could you make?

Answer 4

(3x-3)=(4x-14) there's suppose to be another equation there right?! @littlenugget

Answer 5

first solve that equation to find x, then after you find what x is, you can plug it into the equation for FGH, which is (3x-3) and you will find the measure of the angle FGH, which is the answer for the first one :)
i'm really sorry i didn't reply sooner, i went to eat dinner...... :/

Answer 6

So......
3x-3=4x-14
-3x -3x get all the x's to one side
------------
-3= x-14 now get the x by itself
+14 +14
------------
11=x
x=11

Answer 7

Now that we know x, we can just plug it into the equation (3x-3) :)
3x-3
3(11)-3
33-3
30
so now we know that the measure of FGH is 30!

Answer 8

and since FGH=HGI
you don't need to solve for HGI. because we already know the measure for FGH which is 30.

Answer 9

FGI is the angles FGH and HGI combined, so the equation would be:
FGI=GH+HGI

Answer 10

So...
FGI=30+30
FGI=60

Answer 11

So now the problem is solved :) did everything make sense? do you want any clarification on anything?

Answer 12

thats perfect! if I need help with 2 more problems! @littlenugget
number's 32 and 34!!