Geometry

The answer is B. OP = 30, PQ = 33, OQ = 63.

1. First, write an equation based on the segment - addition postulate:

According to the segment - addition postulate, . Given that , , and , the equation is .

2. Then, simplify the left - hand side of the equation:

Combine like terms: , which simplifies to .

3. Next, solve for :

Subtract from both sides: , so .

Add 7 to both sides: , and .

4. Now, find the length of :

Substitute into the expression for

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