Ab is the diameter of a circle and ac is it's chord such that angle bac=30°.If the tangent at c intersects ab when produce at d ,prove that bc=bd.
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<ACB=90° (angle in a semi circle)
<ABC = 180°-(30+90)=60° (angle sum property of triangle)
<CBD =30+90=120° ( exterior angle of a triangle)
<ACP= 60° ( angle in the alternate segment)
<BCD = 180-(60+90)=30° (linear pair)
<BCD=<BDC=30° (tangent are equal)
BC=BD
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