Question

If mZDEF = (7x + 4)", mZDEG = (5x + 1)', and mZGEF = 23", find each

measure.
E
F
D
Angle DEF -
What is x?

Answer 1

Yoy answer is x=10

Explanation:

We already know what ∠GEF is 23°

so you would have to create an equation like this
`23+(5x+1)=7x+4`

you add 23+1=24 and get
`5x+24=7x+4` subtract 5x on both sides

`24=2x+4` subtract 4 on both sides

`20=2x` divide 2 x=10

∠DEF=7(10)=70+4=74

∠DEG=5(10)=50+1=51

To check 51+23=74