Question

sc2 q2: using point v as the new vertex, construct a duplicate of angle pdq

Explanation:

Step1: Set the compass width

Set the compass width to the distance between the intersection points of the arc and the rays of ∠PDQ.

Step2: Draw an arc from point V

With the same compass - width, draw an arc from point V that intersects the existing ray at a new point.

Step3: Measure the arc - length in ∠PDQ

Use the compass to measure the arc - length between the intersection points of the arc and the rays of ∠PDQ.

Step4: Mark the new angle at point V

With the compass set to the measured arc - length, mark a point on the new arc drawn from V. Then draw a ray from V through this new point to form the duplicate of ∠PDQ.

Answer:

The duplicate of ∠PDQ with vertex V is constructed as described above.