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Q.4 Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°
Answer :

Steps of construction: 1. Draw a circle of radius 5cm .
2. As tangents are inclined to each other at an angle 60 °
\(\therefore \) angle between the radii of circle is 120° ( \(\because \) the sum of all angle if quadrilateral is 360° )
3. draw radii OA and OB inclined to each other at angle 120° 4. At point A and B draw 90° angle. The arm of these angle interest at point P.
5. PA and PB are the required tangents.