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6. If find each measure.

6. If find each measure.-example-1

1 Answer

4 votes

Answer:

∠DEG = 112°

∠GEF = 68°

Explanation:

Angle Addition Postulate

-------------------->>>>

∠DEF = 180°

∠DEG = (23x-3)°

∠GEF = (12x+8)°

---------->>>>

Now, let's solve.


23x-3+12x+8=180

combine like terms


35x+5=180

subtract 5 to both sides


35x=175

divide both sides by 35


x=5

---------->>>>

Let's substitute the 5 for the value of x in (23x-3) and (12x+8)


25(5)-3=


115-3=


=112


12(5)+8=


60+8=


=68

---------->>>>

∠DEG = 112°

∠GEF = 68°

____________________

Hope this is helpful.

User Rahul Katariya
by
8.0k points

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