Question

6. If find each measure.

Answer 1

∠DEG = 112°

∠GEF = 68°

Explanation:

Angle Addition Postulate

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∠DEF = 180°

∠DEG = (23x-3)°

∠GEF = (12x+8)°

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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`

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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`

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∠DEG = 112°

∠GEF = 68°

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Hope this is helpful.