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6. If find each measure.

6 If Find Each Measure class=

Sagot :

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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