Question

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

Answer 1

The value of x is 5 degree;

`x=5`

Step-by-step explanation:

From the diagram attached, line EF bisects angle DEG.

So;

Given;

Substituting and solving;

`\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;} \\ (2x)/(2)=(10)/(2) \\ x=5 \end{gathered}`

Therefore, the value of x is 5 degree;

`x=5`