Math, asked by jyotiramsalunke8538, 1 year ago

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.

Answers

Answered by sanasiju
5

Answer:

<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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