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

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

User Viviane
by
6.9k points

1 Answer

2 votes

Answer:

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

User Deepti Raghav
by
8.0k points

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