Question

PLS HELP!!!
GH bisects ∠FGI. Find the measure of ∠HGI.
https://dlap.gradpoint.com/Resz/~yUA6AAAAAAQzi_EEDSiPwA.-c1n8jFGR2INWft2KDocAD/7234256,F04/Assets/questions/quiz/geometry/geoconst/geoconst-g-13.png

Answer 1

@iGreen

Answer 2

Okay, since GH bisects ∠FGI, what can we say about ∠FGH and ∠HGI?

Answer 3

they are angles?

Answer 4

Yes...but remember what bisect means?

Answer 5

yes divide into 2 equal parts

Answer 6

are you...stupified by my stupidity?

Answer 7

lol, I just went away for a bit.

Answer 8

Yes, so FGI is divided into two equal parts. These two equal parts are ∠FGH and ∠HGI. So we can set them equal to each other and solve just like last time.

Answer 9

ok, 2x+1=3x-9

Answer 10

Yep

Answer 11

We want to get 'x' by itself, what can we do?

Answer 12

subtract 1 from each side?

Answer 13

2x+1-1=3x-9-1

Answer 14

simplify
1-1=0
9-1=8

Answer 15

Yep

Answer 16

That's -9, not 9.

Answer 17

so, -10?

Answer 18

Yep, that leaves us with:

\(\sf 2x=3x-10\)

What can we do now?

Answer 19

we can add?

Answer 20

We want to get the terms with 'x's together, the one on the right is with -10, so move that one. What could we do?

Answer 21

subtract them, you do realize I'm just guessing like a parrot?

Answer 22

Yes, we can subtract '3x' to both sides.

Answer 23

so, 2x-3x=3x-3x-10

Answer 24

-1x=-10

Answer 25

Yep! Now for the final step, which is...?

Answer 26

divide

Answer 27

Yes, divide -1 to both sides.

Answer 28

the answer is 10

Answer 29

thankx for explaining

Answer 30

Hold on, we're not done yet.

Answer 31

Saucesticks

Answer 32

It's asking for the measure of ∠HGI. Plug in 'x' into 3x - 9 to find it.

Answer 33

We just found out 'x' was 10. So....

Answer 34

3x10-9=21

Answer 35

What?

3x - 9

Plug in 10 for 'x':

3(10) - 9

Make sense?

Answer 36

Can you finish it off?

Answer 37

21

Answer 38

Yes, that would be our answer, 21 degrees.