According to the partial construction shown, what is the next step in constructing a line parallel to a given line?
place compass at c and, with compass set to segment ab, draw an arc that intersects line pa.
place compass at p and, with compass set to segment ab, draw an arc that intersects line pa.
use straightedge to draw a segment connecting p and c.
use straightedge to draw a segment connecting b and c.

Place compass at P and, with compass set to segment AB, draw an arc that intersects line PA ⇒ 2nd answer

Step-by-step explanation:

"I have added screenshot of the complete question as well as the

 diagram"

* Lets revise how to construct a parallel line to a given line

1. Using your straightedge, draw a transversal through point P

  This is simply a straight line which passes through P and intersects

   with the given line

2. Using the construction COPY AN ANGLE, construct a copy of the

   angle formed by the transversal and the given line such that the

   vertex of the copied angle will be point P

3. Draw an arc centered at A and intersecting the given line and the  

   transversal at B and C.

4. Draw an arc of the same distance centered at P intersecting the

   transversal at C'

5. Use the compass to measure the distance from B to C, and

    with the compass centered at C' scribe an arc whose radius is

    the distance from B to C intersecting the arc from Step 4 at B'.

6. Draw the line from P through B' which is the parallel line to the

   given line

* Now lets solve the problem

- The next step in constructing a line parallel to a given line is

  Place compass at P and, with compass set to segment AB, draw

   an arc that intersects line PA.

they used 313 gallons of paint