Question

If OF bisects EOG, EOF = 3x - 4 and FOG = 2x+7 find EOG

Answer 1

If OF bisects angle EOG, it means that angle EOF and angle FOG are equal in measure because they are opposite sides of the angle OF. So, we can set up an equation:

EOG = EOF + FOG

Now, substitute the given expressions for EOF and FOG:

EOG = (3x - 4) + (2x + 7)

Now, combine like terms:

EOG = 3x + 2x - 4 + 7

Simplify further:

EOG = 5x + 3

So, the measure of angle EOG is 5x + 3.