OB is the bisector of and . EO = 2x – 20 and OC = 70 – x. Solve for x.

To solve for x, we can use the fact that OB is the bisector and the given conditions EO = 2x - 20 and OC = 70 - x.

By the definition of an angle bisector, we know that the ratios of the lengths of corresponding segments are equal. Therefore, we can set up the following equation:

EO / OC = (2x - 20) / (70 - x)

Now, we can solve for x by cross-multiplying:

(2x - 20) * OC = EO * (70 - x)

Expand both sides of the equation:

(2x - 20) * (70 - x) = EO * OC

Distribute on the left side:

(140 - 2x - 70x + x^2) = EO * OC

Combine like terms:

x^2 - 72x + 140 = EO * OC

At this point, we need more information to be able to solve for x. If you have additional details, such as the values for EO or OC, we can continue with the calculation.

If O is a point on EC then

2x-20 = 70-x