From the description of the construction of the congruent angle, we have;
The statement that describes step 3 correctly is; Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X
The reason for making the above selection is as follows:
The steps to construct an angle congruent to another angle are;
Step 1: Given an angle PQR, draw a working segment NT
Step 2: Place the needle of the compass at point Q and draw an arc (Q, QA), intersecting sides PQ and QR of the angle ∠PQR at points A and B respectively
Step 3: Place the needle of the compass at point N and draw an arc with the compass width QA from above the to intersect the segment NT at a point X
Step 4: Set the compass width to the distance AB with which an arc is drawn from point X so as to intersect the arc (N, QA) above at point Y
Step 5: The points Y and N are joined with a straight line to form the congruent angle
Analysis of the steps:
Given that in step 4, we have that the the arc drawn from point X with compass width AB is meant to intersect the arc drawn from point N, at point Y, we have that in step 3 an arc was drawn from point N with compass width QA from step 2 to intersect NT at a point X
Therefore;
Step 3 is best described by the following statement;
Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X
Learn more about the construction of congruent angles here:
https://brainly.com/question/9781303
