Question

Draw a pair of vertically opposite angles. Bisect each of the two angles. Verify that the bisecting rays are in the same line.

Answer 1

Sol:

Steps of construction:

1. Draw a pair of vertically opposite angle AOC and DOB

2. With center O and any radius drawn two arcs which intersect OA at P, Q .OB at S and

OD at R.

3. With center P and Q and radius more than PQ/2, draw two arcs which intersect each other at 7.

4. Join to

5. With center R and S radius more than RS/2 draw two arcs which intersect each other at U.

6. Join OU.

Therefore, TOU is a straight line