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Score on last try: 0 of 12 pts. See Details for more. > Next question Get a similar question You can retry this question below E EF bisects DEG. If mZDEF = 6 x - 3 and mZFEG = 4 x + 7, find the value of x. Enter an integer or decimal number [more..] Submit Question

Score on last try 0 of 12 pts See Details for more gt Next question Get a similar question You can retry this question below E EF bisects DEG If mZDEF 6 x 3 and class=

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Answer:

The value of x is 5 degree;

[tex]x=5[/tex]

Explanation:

From the diagram attached, line EF bisects angle DEG.

So;

[tex]\measuredangle DEF=\measuredangle FEG[/tex]

Given;

[tex]\begin{gathered} \measuredangle DEF=6x-3 \\ \measuredangle FEG=4x+7 \end{gathered}[/tex]

Substituting and solving;

[tex]\begin{gathered} 6x-3=4x+7 \\ \text{add 3 to both sides;} \\ 6x-3+3=4x+7+3 \\ 6x=4x+10 \\ \text{subtract 4x from both sides;} \\ 6x-4x=4x-4x+10 \\ 2x=10 \\ \text{divide both sides by 2;} \\ \frac{2x}{2}=\frac{10}{2} \\ x=5 \end{gathered}[/tex]

Therefore, the value of x is 5 degree;

[tex]x=5[/tex]

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