angle bisector

[rachelmaddie]

I’m not sure if this is the angle bisector theorem.
7x + 4 = 9x - 4
Would I Solve for x to find the find the measure of angle <GDE?

 

[Romsek]

solve for x and then <GDE, which is also angle 1, is 7x+4

 

[Steven G]

As Romsek said x is NOT the measure of angle 1, rather 7x+4 is the measure of angle 1. If you know x then you can solve for 7x+4 !

 

[rachelmaddie]

As Romsek said x is NOT the measure of angle 1, rather 7x+4 is the measure of angle 1. If you know x then you can solve for 7x+4 !

So solve for x using that equation first?

 

[HallsofIvy]

YES!

 

[Steven G]

So solve for x using that equation first?

Remember that the value for x will not be your final answer.

 

[Deleted member 4993]

So solve for x using that equation first?

Do you have any other viable strategy under contention?

 

[rachelmaddie]

Do you have any other viable strategy under contention?

7x + 4 = 9x - 4

 

[Steven G]

Continue!

 

[Deleted member 4993]

View attachment 14979

I’m not sure if this is the angle bisector theorem.
7x + 4 = 9x - 4
Would I Solve for x to find the find the measure of angle <GDE?

Can you think of ANY OTHER WAY to proceed with this problem?

 

[rachelmaddie]

Continue!

9x - 7x = 4 + 4
2x = 8
x = 2/8 = 4/1
<GDE = 7(4/1) + 4
= 28 + 4
= 32

 

[topsquark]

9x - 7x = 4 + 4
2x = 8
x = 2/8 = 4/1
<GDE = 7(4/1) + 4
= 28 + 4
= 32

And, as a check: 9(4) - 4 = 36 - 4 = 32.

You got it!

-Dan