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Question
Draw a circle with center O and radius 2.8 cm. Take point P in the exterior of a circle such that tangents PA and PB drawn from point P make an angle ∠APB of measure 70°
Solution
Analysis:
As shown in the figure,
In ▢AOBP,
∠A = ∠B = 90° ......[Tangent theorem]
∠P = 70° ......[Given]
∴ ∠O = 110° .......[Remaning angle of ▢AOBC]
Steps of constructions:
- With center O, draw a circle of radius 2.8 cm.
- Take any point A on the circle and draw ray OA.
- Draw line l ⊥ ray OA at point A.
- Draw ray OB such that ∠AOB = 110°.
- Point B must be on the circle.
- Draw line m ⊥ ray OB at point B.
l and m are the required tangents.
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