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Question
Draw a pair of tangents to a circle which are inclined to each other at an angle of 80∘.
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Solution
The tangents can be constructed in the following manner:
Step 1: Draw a circle of radius 5 cm and with centre as O
Step 2: Take a point A on the circumference of the circle and join OA. Draw a perpendicular to OA at point A.
Step 3: Draw a radius OB, making an angle of (180∘−80∘) with OA
Step 4: Draw a perpendicular to OB at point B. Let both the perpendiculars intersect at point P. PA and PB are the required tangents at an angle of 80∘
Step 1: Draw a circle of radius 5 cm and with centre as O
Step 2: Take a point A on the circumference of the circle and join OA. Draw a perpendicular to OA at point A.
Step 3: Draw a radius OB, making an angle of (180∘−80∘) with OA
Step 4: Draw a perpendicular to OB at point B. Let both the perpendiculars intersect at point P. PA and PB are the required tangents at an angle of 80∘
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