Angle AOB=x+3, Angle AOC=2x+11, Angle BOC=4x-7. Solve for x.
I am going out on a limb here and will assume that ABC is a triangle and O is any point inside it,
then the 3 angles must add up to 360°
so simply solve for x
x+3 + 2x+11 + 4x-7 = 360
I got x = 353/7 , was expecting it come out "nicer"
To solve for x, we need to use the fact that the sum of the angles in a triangle is 180 degrees. In this case, we have a triangle with angles AOB, AOC, and BOC.
So, we can set up the following equation:
Angle AOB + Angle AOC + Angle BOC = 180
Substituting the given values:
(x+3) + (2x+11) + (4x-7) = 180
Now, let's simplify the equation:
x + 3 + 2x + 11 + 4x - 7 = 180
7x + 7 = 180
Next, we isolate the x term by subtracting 7 from both sides:
7x + 7 - 7 = 180 - 7
7x = 173
Finally, divide both sides of the equation by 7 to solve for x:
7x/7 = 173/7
x = 24.7
Therefore, x is approximately 24.7.