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Question
Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45°.
Solution
Steps of construction:
- Draw a circle with centre O and radius BC = 5 cm.
- Draw arcs making an angle of 180° – 45° = 135° at O such that ∠AOB = 135°.
- At A and B, draw two rays making an angle of 90° at each point which meet each other at point P, outside the circle.
- AP and BP are the required tangents which make an angle of 45° with each other at P.
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