To draw a pair of tangents to a circle which are inclined to each
other at an angle of 60°, it is required to draw tangents at end
points of those two radii of the circle, the angle between them
should be
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Answer:
The angle between them should be 120∘ because in that case the figure formed by the intersection point of pair of tangent, the two end ponits of those two radii ( at which tangent are drawn ) and the centre of the circles is a quadrilateral.
From figure it is quadrilateral,
∠POQ+∠PRQ=180∘ [∴ sum of opposite angles are 180∘]
60∘+θ=180∘
∴θ=120
Hence, the required angle between them is 120∘.
Step-by-step explanation:
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