Question

Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60 .

Answer 1

1) Draw a circle of radius 5 cm.

2) Draw horizontal radius OQ.

3) Draw angle 120${}^o$ from point O. Let the ray of angle intersect the circle at point R.

4) Now draw 90${}^o$ from point Q.

5) Draw 90${}^o$ from point R.

6) Where the two arcs intersect, mark it as point P.

Therefore, PQ and PR are the tangents at an angle of 60${}^o$.