Answer:
∠DEG = 112°
∠GEF = 68°
Step-by-step explanation:
Angle Addition Postulate
-------------------->>>>
∠DEF = 180°
∠DEG = (23x-3)°
∠GEF = (12x+8)°
---------->>>>
Now, let's solve.
[tex]23x-3+12x+8=180[/tex]
combine like terms
[tex]35x+5=180[/tex]
subtract 5 to both sides
[tex]35x=175[/tex]
divide both sides by 35
[tex]x=5[/tex]
---------->>>>
Let's substitute the 5 for the value of x in (23x-3) and (12x+8)
[tex]25(5)-3=[/tex]
[tex]115-3=[/tex]
[tex]=112[/tex]
[tex]12(5)+8=[/tex]
[tex]60+8=[/tex]
[tex]=68[/tex]
---------->>>>
∠DEG = 112°
∠GEF = 68°
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Hope this is helpful.
