Question

Some steps to construct an angle MNT congruent to angle PQR are listed below.

Answer 1

Answer:

Step 3: Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.

Step-by-step explanation:

In step 4, Y is the point of intersection of arcs drawn from points X and N. Therefore we need an arc from point N before that

Answer 2

Answer: To construct an angle MNT congruent to angle PQR:

Steps to construct an angle MNT:

Step 1: Use a compass to draw an arc from point Q which intersects the side PQ at point A and the side QR at point B.

Step 2: Draw a segment NT and use the same width of the compass to draw an arc from point N which intersects the segment NT at a point X.

Step 3: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the previous arc drawn from N in a point Y.

Step 4:  Join points N and Y using a straightedge.

Step 5: Angle MNT is the required angle congruent to angle PQR.

Step-by-step explanation: